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Finding the Fourth Proportional to 4,381.62, 6,046.64 and 2,809.71

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Solution

The fourth proportional to 4,381.62, 6,046.64 and 2,809.71 is: 3,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.62 : 6,046.64 = 2,809.71 : x
  2. Step 2: Convert to fraction form
    4,381.62/6,046.64 = 2,809.71/x
  3. Step 3: Cross multiply
    4,381.62x = 6,046.64 × 2,809.71
  4. Step 4: Simplify right side
    4,381.62x = 16,989,290.83
  5. Step 5: Solve for x
    x = 16,989,290.83/4,381.62
  6. Step 6: Final answer
    x = 3,877.40

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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.