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Finding the Fourth Proportional to 5,786.16, 8,677.52 and 2,498.48

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Solution

The fourth proportional to 5,786.16, 8,677.52 and 2,498.48 is: 3,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.16 : 8,677.52 = 2,498.48 : x
  2. Step 2: Convert to fraction form
    5,786.16/8,677.52 = 2,498.48/x
  3. Step 3: Cross multiply
    5,786.16x = 8,677.52 × 2,498.48
  4. Step 4: Simplify right side
    5,786.16x = 21,680,610.17
  5. Step 5: Solve for x
    x = 21,680,610.17/5,786.16
  6. Step 6: Final answer
    x = 3,746.98

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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.