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Finding the Fourth Proportional to 5,584.32, 8,376.50 and 1,886.57

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Solution

The fourth proportional to 5,584.32, 8,376.50 and 1,886.57 is: 2,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.32 : 8,376.50 = 1,886.57 : x
  2. Step 2: Convert to fraction form
    5,584.32/8,376.50 = 1,886.57/x
  3. Step 3: Cross multiply
    5,584.32x = 8,376.50 × 1,886.57
  4. Step 4: Simplify right side
    5,584.32x = 15,802,853.61
  5. Step 5: Solve for x
    x = 15,802,853.61/5,584.32
  6. Step 6: Final answer
    x = 2,829.86

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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.