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Finding the Fourth Proportional to 4,381.76, 6,046.92 and 2,392.40

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Solution

The fourth proportional to 4,381.76, 6,046.92 and 2,392.40 is: 3,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.76 : 6,046.92 = 2,392.40 : x
  2. Step 2: Convert to fraction form
    4,381.76/6,046.92 = 2,392.40/x
  3. Step 3: Cross multiply
    4,381.76x = 6,046.92 × 2,392.40
  4. Step 4: Simplify right side
    4,381.76x = 14,466,666.53
  5. Step 5: Solve for x
    x = 14,466,666.53/4,381.76
  6. Step 6: Final answer
    x = 3,301.56

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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.