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Finding the Fourth Proportional to 4,763.07, 7,130.25 and 2,565.14

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Solution

The fourth proportional to 4,763.07, 7,130.25 and 2,565.14 is: 3,839.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.07 : 7,130.25 = 2,565.14 : x
  2. Step 2: Convert to fraction form
    4,763.07/7,130.25 = 2,565.14/x
  3. Step 3: Cross multiply
    4,763.07x = 7,130.25 × 2,565.14
  4. Step 4: Simplify right side
    4,763.07x = 18,290,053.83
  5. Step 5: Solve for x
    x = 18,290,053.83/4,763.07
  6. Step 6: Final answer
    x = 3,839.97

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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.