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Finding the Fourth Proportional to 4,147.60, 6,224.64 and 1,551.28

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Solution

The fourth proportional to 4,147.60, 6,224.64 and 1,551.28 is: 2,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147.60 : 6,224.64 = 1,551.28 : x
  2. Step 2: Convert to fraction form
    4,147.60/6,224.64 = 1,551.28/x
  3. Step 3: Cross multiply
    4,147.60x = 6,224.64 × 1,551.28
  4. Step 4: Simplify right side
    4,147.60x = 9,656,159.54
  5. Step 5: Solve for x
    x = 9,656,159.54/4,147.60
  6. Step 6: Final answer
    x = 2,328.13

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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.