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Finding the Fourth Proportional to 5,288.58, 7,289.82 and 4,167.72

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Solution

The fourth proportional to 5,288.58, 7,289.82 and 4,167.72 is: 5,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.58 : 7,289.82 = 4,167.72 : x
  2. Step 2: Convert to fraction form
    5,288.58/7,289.82 = 4,167.72/x
  3. Step 3: Cross multiply
    5,288.58x = 7,289.82 × 4,167.72
  4. Step 4: Simplify right side
    5,288.58x = 30,381,928.61
  5. Step 5: Solve for x
    x = 30,381,928.61/5,288.58
  6. Step 6: Final answer
    x = 5,744.82

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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.