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Finding the Fourth Proportional to 5,175.74, 7,763.52 and 1,280.13

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Solution

The fourth proportional to 5,175.74, 7,763.52 and 1,280.13 is: 1,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.74 : 7,763.52 = 1,280.13 : x
  2. Step 2: Convert to fraction form
    5,175.74/7,763.52 = 1,280.13/x
  3. Step 3: Cross multiply
    5,175.74x = 7,763.52 × 1,280.13
  4. Step 4: Simplify right side
    5,175.74x = 9,938,314.86
  5. Step 5: Solve for x
    x = 9,938,314.86/5,175.74
  6. Step 6: Final answer
    x = 1,920.17

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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.