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Finding the Fourth Proportional to 4,565.65, 6,300.64 and 2,677.29

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Solution

The fourth proportional to 4,565.65, 6,300.64 and 2,677.29 is: 3,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.65 : 6,300.64 = 2,677.29 : x
  2. Step 2: Convert to fraction form
    4,565.65/6,300.64 = 2,677.29/x
  3. Step 3: Cross multiply
    4,565.65x = 6,300.64 × 2,677.29
  4. Step 4: Simplify right side
    4,565.65x = 16,868,640.47
  5. Step 5: Solve for x
    x = 16,868,640.47/4,565.65
  6. Step 6: Final answer
    x = 3,694.69

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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.