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Finding the Fourth Proportional to 5,142.66, 7,100.88 and 3,945.74

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Solution

The fourth proportional to 5,142.66, 7,100.88 and 3,945.74 is: 5,448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.66 : 7,100.88 = 3,945.74 : x
  2. Step 2: Convert to fraction form
    5,142.66/7,100.88 = 3,945.74/x
  3. Step 3: Cross multiply
    5,142.66x = 7,100.88 × 3,945.74
  4. Step 4: Simplify right side
    5,142.66x = 28,018,215.89
  5. Step 5: Solve for x
    x = 28,018,215.89/5,142.66
  6. Step 6: Final answer
    x = 5,448.20

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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.