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Finding the Fourth Proportional to 3,966.65, 5,476.65 and 3,545.66

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Solution

The fourth proportional to 3,966.65, 5,476.65 and 3,545.66 is: 4,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.65 : 5,476.65 = 3,545.66 : x
  2. Step 2: Convert to fraction form
    3,966.65/5,476.65 = 3,545.66/x
  3. Step 3: Cross multiply
    3,966.65x = 5,476.65 × 3,545.66
  4. Step 4: Simplify right side
    3,966.65x = 19,418,311.46
  5. Step 5: Solve for x
    x = 19,418,311.46/3,966.65
  6. Step 6: Final answer
    x = 4,895.39

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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.