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Finding the Fourth Proportional to 5,732.18, 8,602.08 and 2,357.74

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Solution

The fourth proportional to 5,732.18, 8,602.08 and 2,357.74 is: 3,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.18 : 8,602.08 = 2,357.74 : x
  2. Step 2: Convert to fraction form
    5,732.18/8,602.08 = 2,357.74/x
  3. Step 3: Cross multiply
    5,732.18x = 8,602.08 × 2,357.74
  4. Step 4: Simplify right side
    5,732.18x = 20,281,437.75
  5. Step 5: Solve for x
    x = 20,281,437.75/5,732.18
  6. Step 6: Final answer
    x = 3,538.17

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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.