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Finding the Fourth Proportional to 5,584.24, 8,377.62 and 1,886.32

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Solution

The fourth proportional to 5,584.24, 8,377.62 and 1,886.32 is: 2,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.24 : 8,377.62 = 1,886.32 : x
  2. Step 2: Convert to fraction form
    5,584.24/8,377.62 = 1,886.32/x
  3. Step 3: Cross multiply
    5,584.24x = 8,377.62 × 1,886.32
  4. Step 4: Simplify right side
    5,584.24x = 15,802,872.16
  5. Step 5: Solve for x
    x = 15,802,872.16/5,584.24
  6. Step 6: Final answer
    x = 2,829.91

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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.