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Finding the Fourth Proportional to 5,545.49, 7,652.79 and 3,027.65

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Solution

The fourth proportional to 5,545.49, 7,652.79 and 3,027.65 is: 4,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.49 : 7,652.79 = 3,027.65 : x
  2. Step 2: Convert to fraction form
    5,545.49/7,652.79 = 3,027.65/x
  3. Step 3: Cross multiply
    5,545.49x = 7,652.79 × 3,027.65
  4. Step 4: Simplify right side
    5,545.49x = 23,169,931.38
  5. Step 5: Solve for x
    x = 23,169,931.38/5,545.49
  6. Step 6: Final answer
    x = 4,178.16

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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.