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Finding the Fourth Proportional to 5,760.67, 7,948.65 and 3,403.18

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Solution

The fourth proportional to 5,760.67, 7,948.65 and 3,403.18 is: 4,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.67 : 7,948.65 = 3,403.18 : x
  2. Step 2: Convert to fraction form
    5,760.67/7,948.65 = 3,403.18/x
  3. Step 3: Cross multiply
    5,760.67x = 7,948.65 × 3,403.18
  4. Step 4: Simplify right side
    5,760.67x = 27,050,686.71
  5. Step 5: Solve for x
    x = 27,050,686.71/5,760.67
  6. Step 6: Final answer
    x = 4,695.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.