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Finding the Fourth Proportional to 5,566.72, 8,302.90 and 4,695

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Solution

The fourth proportional to 5,566.72, 8,302.90 and 4,695 is: 7,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.72 : 8,302.90 = 4,695 : x
  2. Step 2: Convert to fraction form
    5,566.72/8,302.90 = 4,695/x
  3. Step 3: Cross multiply
    5,566.72x = 8,302.90 × 4,695
  4. Step 4: Simplify right side
    5,566.72x = 38,982,115.50
  5. Step 5: Solve for x
    x = 38,982,115.50/5,566.72
  6. Step 6: Final answer
    x = 7,002.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.