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Finding the Fourth Proportional to 4,909.34, 6,777.40 and 3,787.76

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Solution

The fourth proportional to 4,909.34, 6,777.40 and 3,787.76 is: 5,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.34 : 6,777.40 = 3,787.76 : x
  2. Step 2: Convert to fraction form
    4,909.34/6,777.40 = 3,787.76/x
  3. Step 3: Cross multiply
    4,909.34x = 6,777.40 × 3,787.76
  4. Step 4: Simplify right side
    4,909.34x = 25,671,164.62
  5. Step 5: Solve for x
    x = 25,671,164.62/4,909.34
  6. Step 6: Final answer
    x = 5,229.05

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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.