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Finding the Fourth Proportional to 5,732.68, 8,602.83 and 2,358.24

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Solution

The fourth proportional to 5,732.68, 8,602.83 and 2,358.24 is: 3,538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.68 : 8,602.83 = 2,358.24 : x
  2. Step 2: Convert to fraction form
    5,732.68/8,602.83 = 2,358.24/x
  3. Step 3: Cross multiply
    5,732.68x = 8,602.83 × 2,358.24
  4. Step 4: Simplify right side
    5,732.68x = 20,287,537.82
  5. Step 5: Solve for x
    x = 20,287,537.82/5,732.68
  6. Step 6: Final answer
    x = 3,538.93

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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.