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Finding the Fourth Proportional to 4,139.88, 5,714.16 and 2,461.92

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Solution

The fourth proportional to 4,139.88, 5,714.16 and 2,461.92 is: 3,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.88 : 5,714.16 = 2,461.92 : x
  2. Step 2: Convert to fraction form
    4,139.88/5,714.16 = 2,461.92/x
  3. Step 3: Cross multiply
    4,139.88x = 5,714.16 × 2,461.92
  4. Step 4: Simplify right side
    4,139.88x = 14,067,804.79
  5. Step 5: Solve for x
    x = 14,067,804.79/4,139.88
  6. Step 6: Final answer
    x = 3,398.12

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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.