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Finding the Fourth Proportional to 5,289.70, 7,952.55 and 4,322.82

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Solution

The fourth proportional to 5,289.70, 7,952.55 and 4,322.82 is: 6,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.70 : 7,952.55 = 4,322.82 : x
  2. Step 2: Convert to fraction form
    5,289.70/7,952.55 = 4,322.82/x
  3. Step 3: Cross multiply
    5,289.70x = 7,952.55 × 4,322.82
  4. Step 4: Simplify right side
    5,289.70x = 34,377,442.19
  5. Step 5: Solve for x
    x = 34,377,442.19/5,289.70
  6. Step 6: Final answer
    x = 6,498.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.