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Finding the Fourth Proportional to 4,335.31, 6,502.93 and 2,254.24

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Solution

The fourth proportional to 4,335.31, 6,502.93 and 2,254.24 is: 3,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.31 : 6,502.93 = 2,254.24 : x
  2. Step 2: Convert to fraction form
    4,335.31/6,502.93 = 2,254.24/x
  3. Step 3: Cross multiply
    4,335.31x = 6,502.93 × 2,254.24
  4. Step 4: Simplify right side
    4,335.31x = 14,659,143.03
  5. Step 5: Solve for x
    x = 14,659,143.03/4,335.31
  6. Step 6: Final answer
    x = 3,381.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.