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Finding the Fourth Proportional to 6,337.73, 8,746.04 and 3,543.23

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Solution

The fourth proportional to 6,337.73, 8,746.04 and 3,543.23 is: 4,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.73 : 8,746.04 = 3,543.23 : x
  2. Step 2: Convert to fraction form
    6,337.73/8,746.04 = 3,543.23/x
  3. Step 3: Cross multiply
    6,337.73x = 8,746.04 × 3,543.23
  4. Step 4: Simplify right side
    6,337.73x = 30,989,262.03
  5. Step 5: Solve for x
    x = 30,989,262.03/6,337.73
  6. Step 6: Final answer
    x = 4,889.65

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Why These Related Problems?

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