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Finding the Fourth Proportional to 4,376.34, 6,562.92 and 1,602.20

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Solution

The fourth proportional to 4,376.34, 6,562.92 and 1,602.20 is: 2,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.34 : 6,562.92 = 1,602.20 : x
  2. Step 2: Convert to fraction form
    4,376.34/6,562.92 = 1,602.20/x
  3. Step 3: Cross multiply
    4,376.34x = 6,562.92 × 1,602.20
  4. Step 4: Simplify right side
    4,376.34x = 10,515,110.42
  5. Step 5: Solve for x
    x = 10,515,110.42/4,376.34
  6. Step 6: Final answer
    x = 2,402.72

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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.