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Finding the Fourth Proportional to 4,784.22, 6,602.26 and 2,659.78

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Solution

The fourth proportional to 4,784.22, 6,602.26 and 2,659.78 is: 3,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.22 : 6,602.26 = 2,659.78 : x
  2. Step 2: Convert to fraction form
    4,784.22/6,602.26 = 2,659.78/x
  3. Step 3: Cross multiply
    4,784.22x = 6,602.26 × 2,659.78
  4. Step 4: Simplify right side
    4,784.22x = 17,560,559.10
  5. Step 5: Solve for x
    x = 17,560,559.10/4,784.22
  6. Step 6: Final answer
    x = 3,670.52

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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.