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Finding the Fourth Proportional to 5,665.98, 7,822.85 and 4,337.31

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Solution

The fourth proportional to 5,665.98, 7,822.85 and 4,337.31 is: 5,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.98 : 7,822.85 = 4,337.31 : x
  2. Step 2: Convert to fraction form
    5,665.98/7,822.85 = 4,337.31/x
  3. Step 3: Cross multiply
    5,665.98x = 7,822.85 × 4,337.31
  4. Step 4: Simplify right side
    5,665.98x = 33,930,097.26
  5. Step 5: Solve for x
    x = 33,930,097.26/5,665.98
  6. Step 6: Final answer
    x = 5,988.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.