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Finding the Fourth Proportional to 5,732.34, 8,597.42 and 2,034.42

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Solution

The fourth proportional to 5,732.34, 8,597.42 and 2,034.42 is: 3,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.34 : 8,597.42 = 2,034.42 : x
  2. Step 2: Convert to fraction form
    5,732.34/8,597.42 = 2,034.42/x
  3. Step 3: Cross multiply
    5,732.34x = 8,597.42 × 2,034.42
  4. Step 4: Simplify right side
    5,732.34x = 17,490,763.20
  5. Step 5: Solve for x
    x = 17,490,763.20/5,732.34
  6. Step 6: Final answer
    x = 3,051.24

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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.