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Finding the Fourth Proportional to 5,666.13, 8,502.86 and 2,203.38

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Solution

The fourth proportional to 5,666.13, 8,502.86 and 2,203.38 is: 3,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.13 : 8,502.86 = 2,203.38 : x
  2. Step 2: Convert to fraction form
    5,666.13/8,502.86 = 2,203.38/x
  3. Step 3: Cross multiply
    5,666.13x = 8,502.86 × 2,203.38
  4. Step 4: Simplify right side
    5,666.13x = 18,735,031.67
  5. Step 5: Solve for x
    x = 18,735,031.67/5,666.13
  6. Step 6: Final answer
    x = 3,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.