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Finding the Fourth Proportional to 6,184.47, 8,545.88 and 4,502.96

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Solution

The fourth proportional to 6,184.47, 8,545.88 and 4,502.96 is: 6,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.47 : 8,545.88 = 4,502.96 : x
  2. Step 2: Convert to fraction form
    6,184.47/8,545.88 = 4,502.96/x
  3. Step 3: Cross multiply
    6,184.47x = 8,545.88 × 4,502.96
  4. Step 4: Simplify right side
    6,184.47x = 38,481,755.80
  5. Step 5: Solve for x
    x = 38,481,755.80/6,184.47
  6. Step 6: Final answer
    x = 6,222.32

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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.