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Finding the Fourth Proportional to 5,236.71, 7,225.74 and 3,140.88

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Solution

The fourth proportional to 5,236.71, 7,225.74 and 3,140.88 is: 4,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.71 : 7,225.74 = 3,140.88 : x
  2. Step 2: Convert to fraction form
    5,236.71/7,225.74 = 3,140.88/x
  3. Step 3: Cross multiply
    5,236.71x = 7,225.74 × 3,140.88
  4. Step 4: Simplify right side
    5,236.71x = 22,695,182.25
  5. Step 5: Solve for x
    x = 22,695,182.25/5,236.71
  6. Step 6: Final answer
    x = 4,333.86

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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.