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Finding the Fourth Proportional to 5,772,820.56, 7,966,373.16 and 3,194,499.60

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Solution

The fourth proportional to 5,772,820.56, 7,966,373.16 and 3,194,499.60 is: 4,408,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772,820.56 : 7,966,373.16 = 3,194,499.60 : x
  2. Step 2: Convert to fraction form
    5,772,820.56/7,966,373.16 = 3,194,499.60/x
  3. Step 3: Cross multiply
    5,772,820.56x = 7,966,373.16 × 3,194,499.60
  4. Step 4: Simplify right side
    5,772,820.56x = 25,448,575,873,070.74
  5. Step 5: Solve for x
    x = 25,448,575,873,070.74/5,772,820.56
  6. Step 6: Final answer
    x = 4,408,343.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.