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Finding the Fourth Proportional to 5,865.32, 8,089.71 and 3,741.50

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Solution

The fourth proportional to 5,865.32, 8,089.71 and 3,741.50 is: 5,160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.32 : 8,089.71 = 3,741.50 : x
  2. Step 2: Convert to fraction form
    5,865.32/8,089.71 = 3,741.50/x
  3. Step 3: Cross multiply
    5,865.32x = 8,089.71 × 3,741.50
  4. Step 4: Simplify right side
    5,865.32x = 30,267,649.97
  5. Step 5: Solve for x
    x = 30,267,649.97/5,865.32
  6. Step 6: Final answer
    x = 5,160.44

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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.