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Finding the Fourth Proportional to 4,565.88, 6,842.92 and 2,065.24

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Solution

The fourth proportional to 4,565.88, 6,842.92 and 2,065.24 is: 3,095.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.88 : 6,842.92 = 2,065.24 : x
  2. Step 2: Convert to fraction form
    4,565.88/6,842.92 = 2,065.24/x
  3. Step 3: Cross multiply
    4,565.88x = 6,842.92 × 2,065.24
  4. Step 4: Simplify right side
    4,565.88x = 14,132,272.10
  5. Step 5: Solve for x
    x = 14,132,272.10/4,565.88
  6. Step 6: Final answer
    x = 3,095.19

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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.