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Finding the Fourth Proportional to 5,889.38, 8,130.98 and 4,473.14

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Solution

The fourth proportional to 5,889.38, 8,130.98 and 4,473.14 is: 6,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.38 : 8,130.98 = 4,473.14 : x
  2. Step 2: Convert to fraction form
    5,889.38/8,130.98 = 4,473.14/x
  3. Step 3: Cross multiply
    5,889.38x = 8,130.98 × 4,473.14
  4. Step 4: Simplify right side
    5,889.38x = 36,371,011.88
  5. Step 5: Solve for x
    x = 36,371,011.88/5,889.38
  6. Step 6: Final answer
    x = 6,175.69

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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.