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Finding the Fourth Proportional to 5,288.40, 7,932.60 and 4,640.40

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Solution

The fourth proportional to 5,288.40, 7,932.60 and 4,640.40 is: 6,960.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.40 : 7,932.60 = 4,640.40 : x
  2. Step 2: Convert to fraction form
    5,288.40/7,932.60 = 4,640.40/x
  3. Step 3: Cross multiply
    5,288.40x = 7,932.60 × 4,640.40
  4. Step 4: Simplify right side
    5,288.40x = 36,810,437.04
  5. Step 5: Solve for x
    x = 36,810,437.04/5,288.40
  6. Step 6: Final answer
    x = 6,960.60

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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.