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Finding the Fourth Proportional to 5,126.89, 7,078.90 and 3,140.16

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Solution

The fourth proportional to 5,126.89, 7,078.90 and 3,140.16 is: 4,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.89 : 7,078.90 = 3,140.16 : x
  2. Step 2: Convert to fraction form
    5,126.89/7,078.90 = 3,140.16/x
  3. Step 3: Cross multiply
    5,126.89x = 7,078.90 × 3,140.16
  4. Step 4: Simplify right side
    5,126.89x = 22,228,878.62
  5. Step 5: Solve for x
    x = 22,228,878.62/5,126.89
  6. Step 6: Final answer
    x = 4,335.74

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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.