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Finding the Fourth Proportional to 6,376.48, 8,799.46 and 3,543.87

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Solution

The fourth proportional to 6,376.48, 8,799.46 and 3,543.87 is: 4,890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.48 : 8,799.46 = 3,543.87 : x
  2. Step 2: Convert to fraction form
    6,376.48/8,799.46 = 3,543.87/x
  3. Step 3: Cross multiply
    6,376.48x = 8,799.46 × 3,543.87
  4. Step 4: Simplify right side
    6,376.48x = 31,184,142.31
  5. Step 5: Solve for x
    x = 31,184,142.31/6,376.48
  6. Step 6: Final answer
    x = 4,890.49

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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.