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Finding the Fourth Proportional to 5,545.71, 7,653.06 and 3,027.83

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Solution

The fourth proportional to 5,545.71, 7,653.06 and 3,027.83 is: 4,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545.71 : 7,653.06 = 3,027.83 : x
  2. Step 2: Convert to fraction form
    5,545.71/7,653.06 = 3,027.83/x
  3. Step 3: Cross multiply
    5,545.71x = 7,653.06 × 3,027.83
  4. Step 4: Simplify right side
    5,545.71x = 23,172,126.39
  5. Step 5: Solve for x
    x = 23,172,126.39/5,545.71
  6. Step 6: Final answer
    x = 4,178.39

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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.