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Finding the Fourth Proportional to 3,416.60, 5,127.42 and 1,470.26

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Solution

The fourth proportional to 3,416.60, 5,127.42 and 1,470.26 is: 2,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.60 : 5,127.42 = 1,470.26 : x
  2. Step 2: Convert to fraction form
    3,416.60/5,127.42 = 1,470.26/x
  3. Step 3: Cross multiply
    3,416.60x = 5,127.42 × 1,470.26
  4. Step 4: Simplify right side
    3,416.60x = 7,538,640.53
  5. Step 5: Solve for x
    x = 7,538,640.53/3,416.60
  6. Step 6: Final answer
    x = 2,206.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.