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Finding the Fourth Proportional to 5,886.88, 8,821.74 and 3,689.32

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Solution

The fourth proportional to 5,886.88, 8,821.74 and 3,689.32 is: 5,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.88 : 8,821.74 = 3,689.32 : x
  2. Step 2: Convert to fraction form
    5,886.88/8,821.74 = 3,689.32/x
  3. Step 3: Cross multiply
    5,886.88x = 8,821.74 × 3,689.32
  4. Step 4: Simplify right side
    5,886.88x = 32,546,221.82
  5. Step 5: Solve for x
    x = 32,546,221.82/5,886.88
  6. Step 6: Final answer
    x = 5,528.60

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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.