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Finding the Fourth Proportional to 6,877.92, 9,490.98 and 4,045.41

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Solution

The fourth proportional to 6,877.92, 9,490.98 and 4,045.41 is: 5,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.92 : 9,490.98 = 4,045.41 : x
  2. Step 2: Convert to fraction form
    6,877.92/9,490.98 = 4,045.41/x
  3. Step 3: Cross multiply
    6,877.92x = 9,490.98 × 4,045.41
  4. Step 4: Simplify right side
    6,877.92x = 38,394,905.40
  5. Step 5: Solve for x
    x = 38,394,905.40/6,877.92
  6. Step 6: Final answer
    x = 5,582.34

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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.