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Finding the Fourth Proportional to 3,877.32, 5,347.92 and 2,698.80

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Solution

The fourth proportional to 3,877.32, 5,347.92 and 2,698.80 is: 3,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.32 : 5,347.92 = 2,698.80 : x
  2. Step 2: Convert to fraction form
    3,877.32/5,347.92 = 2,698.80/x
  3. Step 3: Cross multiply
    3,877.32x = 5,347.92 × 2,698.80
  4. Step 4: Simplify right side
    3,877.32x = 14,432,966.50
  5. Step 5: Solve for x
    x = 14,432,966.50/3,877.32
  6. Step 6: Final answer
    x = 3,722.41

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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.