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Finding the Fourth Proportional to 5,853.32, 8,079.50 and 4,660.48

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Solution

The fourth proportional to 5,853.32, 8,079.50 and 4,660.48 is: 6,432.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.32 : 8,079.50 = 4,660.48 : x
  2. Step 2: Convert to fraction form
    5,853.32/8,079.50 = 4,660.48/x
  3. Step 3: Cross multiply
    5,853.32x = 8,079.50 × 4,660.48
  4. Step 4: Simplify right side
    5,853.32x = 37,654,348.16
  5. Step 5: Solve for x
    x = 37,654,348.16/5,853.32
  6. Step 6: Final answer
    x = 6,432.99

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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.