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Finding the Fourth Proportional to 5,967.61, 8,237.64 and 4,354.90

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Solution

The fourth proportional to 5,967.61, 8,237.64 and 4,354.90 is: 6,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.61 : 8,237.64 = 4,354.90 : x
  2. Step 2: Convert to fraction form
    5,967.61/8,237.64 = 4,354.90/x
  3. Step 3: Cross multiply
    5,967.61x = 8,237.64 × 4,354.90
  4. Step 4: Simplify right side
    5,967.61x = 35,874,098.44
  5. Step 5: Solve for x
    x = 35,874,098.44/5,967.61
  6. Step 6: Final answer
    x = 6,011.47

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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.