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Finding the Fourth Proportional to 5,895.78, 8,140.28 and 4,129.78

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Solution

The fourth proportional to 5,895.78, 8,140.28 and 4,129.78 is: 5,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.78 : 8,140.28 = 4,129.78 : x
  2. Step 2: Convert to fraction form
    5,895.78/8,140.28 = 4,129.78/x
  3. Step 3: Cross multiply
    5,895.78x = 8,140.28 × 4,129.78
  4. Step 4: Simplify right side
    5,895.78x = 33,617,565.54
  5. Step 5: Solve for x
    x = 33,617,565.54/5,895.78
  6. Step 6: Final answer
    x = 5,701.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.