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Finding the Fourth Proportional to 5,176.38, 7,760.02 and 2,058.59

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Solution

The fourth proportional to 5,176.38, 7,760.02 and 2,058.59 is: 3,086.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.38 : 7,760.02 = 2,058.59 : x
  2. Step 2: Convert to fraction form
    5,176.38/7,760.02 = 2,058.59/x
  3. Step 3: Cross multiply
    5,176.38x = 7,760.02 × 2,058.59
  4. Step 4: Simplify right side
    5,176.38x = 15,974,699.57
  5. Step 5: Solve for x
    x = 15,974,699.57/5,176.38
  6. Step 6: Final answer
    x = 3,086.08

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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.