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Finding the Fourth Proportional to 5,740.38, 8,602.47 and 2,452.32

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Solution

The fourth proportional to 5,740.38, 8,602.47 and 2,452.32 is: 3,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.38 : 8,602.47 = 2,452.32 : x
  2. Step 2: Convert to fraction form
    5,740.38/8,602.47 = 2,452.32/x
  3. Step 3: Cross multiply
    5,740.38x = 8,602.47 × 2,452.32
  4. Step 4: Simplify right side
    5,740.38x = 21,096,009.23
  5. Step 5: Solve for x
    x = 21,096,009.23/5,740.38
  6. Step 6: Final answer
    x = 3,675.02

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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.