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Finding the Fourth Proportional to 4,693.66, 6,477.33 and 2,569.38

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Solution

The fourth proportional to 4,693.66, 6,477.33 and 2,569.38 is: 3,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.66 : 6,477.33 = 2,569.38 : x
  2. Step 2: Convert to fraction form
    4,693.66/6,477.33 = 2,569.38/x
  3. Step 3: Cross multiply
    4,693.66x = 6,477.33 × 2,569.38
  4. Step 4: Simplify right side
    4,693.66x = 16,642,689.77
  5. Step 5: Solve for x
    x = 16,642,689.77/4,693.66
  6. Step 6: Final answer
    x = 3,545.78

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Why These Related Problems?

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