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Finding the Fourth Proportional to 5,545.38, 7,658.10 and 4,364.40

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Solution

The fourth proportional to 5,545.38, 7,658.10 and 4,364.40 is: 6,027.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.38 : 7,658.10 = 4,364.40 : x
  2. Step 2: Convert to fraction form
    5,545.38/7,658.10 = 4,364.40/x
  3. Step 3: Cross multiply
    5,545.38x = 7,658.10 × 4,364.40
  4. Step 4: Simplify right side
    5,545.38x = 33,423,011.64
  5. Step 5: Solve for x
    x = 33,423,011.64/5,545.38
  6. Step 6: Final answer
    x = 6,027.18

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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.