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Finding the Fourth Proportional to 5,103.07, 7,654.61 and 1,593.38

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Solution

The fourth proportional to 5,103.07, 7,654.61 and 1,593.38 is: 2,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.07 : 7,654.61 = 1,593.38 : x
  2. Step 2: Convert to fraction form
    5,103.07/7,654.61 = 1,593.38/x
  3. Step 3: Cross multiply
    5,103.07x = 7,654.61 × 1,593.38
  4. Step 4: Simplify right side
    5,103.07x = 12,196,719.10
  5. Step 5: Solve for x
    x = 12,196,719.10/5,103.07
  6. Step 6: Final answer
    x = 2,390.07

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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.