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Finding the Fourth Proportional to 4,809.60, 6,627.38 and 3,548.64

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Solution

The fourth proportional to 4,809.60, 6,627.38 and 3,548.64 is: 4,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.60 : 6,627.38 = 3,548.64 : x
  2. Step 2: Convert to fraction form
    4,809.60/6,627.38 = 3,548.64/x
  3. Step 3: Cross multiply
    4,809.60x = 6,627.38 × 3,548.64
  4. Step 4: Simplify right side
    4,809.60x = 23,518,185.76
  5. Step 5: Solve for x
    x = 23,518,185.76/4,809.60
  6. Step 6: Final answer
    x = 4,889.84

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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.