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Finding the Fourth Proportional to 5,937.49, 8,853.98 and 5,521.96

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Solution

The fourth proportional to 5,937.49, 8,853.98 and 5,521.96 is: 8,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.49 : 8,853.98 = 5,521.96 : x
  2. Step 2: Convert to fraction form
    5,937.49/8,853.98 = 5,521.96/x
  3. Step 3: Cross multiply
    5,937.49x = 8,853.98 × 5,521.96
  4. Step 4: Simplify right side
    5,937.49x = 48,891,323.40
  5. Step 5: Solve for x
    x = 48,891,323.40/5,937.49
  6. Step 6: Final answer
    x = 8,234.34

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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.