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Finding the Fourth Proportional to 5,780.32, 7,976.87 and 3,262.53

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Solution

The fourth proportional to 5,780.32, 7,976.87 and 3,262.53 is: 4,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.32 : 7,976.87 = 3,262.53 : x
  2. Step 2: Convert to fraction form
    5,780.32/7,976.87 = 3,262.53/x
  3. Step 3: Cross multiply
    5,780.32x = 7,976.87 × 3,262.53
  4. Step 4: Simplify right side
    5,780.32x = 26,024,785.84
  5. Step 5: Solve for x
    x = 26,024,785.84/5,780.32
  6. Step 6: Final answer
    x = 4,502.31

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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.