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Finding the Fourth Proportional to 5,886.90, 8,122.28 and 3,648.87

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Solution

The fourth proportional to 5,886.90, 8,122.28 and 3,648.87 is: 5,034.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.90 : 8,122.28 = 3,648.87 : x
  2. Step 2: Convert to fraction form
    5,886.90/8,122.28 = 3,648.87/x
  3. Step 3: Cross multiply
    5,886.90x = 8,122.28 × 3,648.87
  4. Step 4: Simplify right side
    5,886.90x = 29,637,125.58
  5. Step 5: Solve for x
    x = 29,637,125.58/5,886.90
  6. Step 6: Final answer
    x = 5,034.42

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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.