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Finding the Fourth Proportional to 4,381.54, 6,046.51 and 2,809.63

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Solution

The fourth proportional to 4,381.54, 6,046.51 and 2,809.63 is: 3,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.54 : 6,046.51 = 2,809.63 : x
  2. Step 2: Convert to fraction form
    4,381.54/6,046.51 = 2,809.63/x
  3. Step 3: Cross multiply
    4,381.54x = 6,046.51 × 2,809.63
  4. Step 4: Simplify right side
    4,381.54x = 16,988,432.68
  5. Step 5: Solve for x
    x = 16,988,432.68/4,381.54
  6. Step 6: Final answer
    x = 3,877.28

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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.