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Finding the Fourth Proportional to 3,342.96, 5,013.36 and 1,587.72

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Solution

The fourth proportional to 3,342.96, 5,013.36 and 1,587.72 is: 2,381.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.96 : 5,013.36 = 1,587.72 : x
  2. Step 2: Convert to fraction form
    3,342.96/5,013.36 = 1,587.72/x
  3. Step 3: Cross multiply
    3,342.96x = 5,013.36 × 1,587.72
  4. Step 4: Simplify right side
    3,342.96x = 7,959,811.94
  5. Step 5: Solve for x
    x = 7,959,811.94/3,342.96
  6. Step 6: Final answer
    x = 2,381.07

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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.