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Finding the Fourth Proportional to 3,343.42, 5,014.98 and 1,587.14

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Solution

The fourth proportional to 3,343.42, 5,014.98 and 1,587.14 is: 2,380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.42 : 5,014.98 = 1,587.14 : x
  2. Step 2: Convert to fraction form
    3,343.42/5,014.98 = 1,587.14/x
  3. Step 3: Cross multiply
    3,343.42x = 5,014.98 × 1,587.14
  4. Step 4: Simplify right side
    3,343.42x = 7,959,475.36
  5. Step 5: Solve for x
    x = 7,959,475.36/3,343.42
  6. Step 6: Final answer
    x = 2,380.64

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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.