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Finding the Fourth Proportional to 5,238.74, 7,228.65 and 3,113.48

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Solution

The fourth proportional to 5,238.74, 7,228.65 and 3,113.48 is: 4,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.74 : 7,228.65 = 3,113.48 : x
  2. Step 2: Convert to fraction form
    5,238.74/7,228.65 = 3,113.48/x
  3. Step 3: Cross multiply
    5,238.74x = 7,228.65 × 3,113.48
  4. Step 4: Simplify right side
    5,238.74x = 22,506,275.27
  5. Step 5: Solve for x
    x = 22,506,275.27/5,238.74
  6. Step 6: Final answer
    x = 4,296.12

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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.