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Finding the Fourth Proportional to 5,049.31, 6,967.18 and 4,641.02

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Solution

The fourth proportional to 5,049.31, 6,967.18 and 4,641.02 is: 6,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,049.31 : 6,967.18 = 4,641.02 : x
  2. Step 2: Convert to fraction form
    5,049.31/6,967.18 = 4,641.02/x
  3. Step 3: Cross multiply
    5,049.31x = 6,967.18 × 4,641.02
  4. Step 4: Simplify right side
    5,049.31x = 32,334,827.54
  5. Step 5: Solve for x
    x = 32,334,827.54/5,049.31
  6. Step 6: Final answer
    x = 6,403.81

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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.