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Finding the Fourth Proportional to 5,230.52, 7,216.98 and 3,106.76

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Solution

The fourth proportional to 5,230.52, 7,216.98 and 3,106.76 is: 4,286.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.52 : 7,216.98 = 3,106.76 : x
  2. Step 2: Convert to fraction form
    5,230.52/7,216.98 = 3,106.76/x
  3. Step 3: Cross multiply
    5,230.52x = 7,216.98 × 3,106.76
  4. Step 4: Simplify right side
    5,230.52x = 22,421,394.53
  5. Step 5: Solve for x
    x = 22,421,394.53/5,230.52
  6. Step 6: Final answer
    x = 4,286.64

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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.