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Finding the Fourth Proportional to 6,337.71, 8,746.07 and 3,543.21

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Solution

The fourth proportional to 6,337.71, 8,746.07 and 3,543.21 is: 4,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.71 : 8,746.07 = 3,543.21 : x
  2. Step 2: Convert to fraction form
    6,337.71/8,746.07 = 3,543.21/x
  3. Step 3: Cross multiply
    6,337.71x = 8,746.07 × 3,543.21
  4. Step 4: Simplify right side
    6,337.71x = 30,989,144.97
  5. Step 5: Solve for x
    x = 30,989,144.97/6,337.71
  6. Step 6: Final answer
    x = 4,889.64

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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.