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Finding the Fourth Proportional to 3,486.72, 5,255.76 and 3,129.60

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Solution

The fourth proportional to 3,486.72, 5,255.76 and 3,129.60 is: 4,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.72 : 5,255.76 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    3,486.72/5,255.76 = 3,129.60/x
  3. Step 3: Cross multiply
    3,486.72x = 5,255.76 × 3,129.60
  4. Step 4: Simplify right side
    3,486.72x = 16,448,426.50
  5. Step 5: Solve for x
    x = 16,448,426.50/3,486.72
  6. Step 6: Final answer
    x = 4,717.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.