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Finding the Fourth Proportional to 5,172.60, 7,759.28 and 1,475.13

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Solution

The fourth proportional to 5,172.60, 7,759.28 and 1,475.13 is: 2,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.60 : 7,759.28 = 1,475.13 : x
  2. Step 2: Convert to fraction form
    5,172.60/7,759.28 = 1,475.13/x
  3. Step 3: Cross multiply
    5,172.60x = 7,759.28 × 1,475.13
  4. Step 4: Simplify right side
    5,172.60x = 11,445,946.71
  5. Step 5: Solve for x
    x = 11,445,946.71/5,172.60
  6. Step 6: Final answer
    x = 2,212.80

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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.