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Finding the Fourth Proportional to 5,828, 8,746.86 and 2,750

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Solution

The fourth proportional to 5,828, 8,746.86 and 2,750 is: 4,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828 : 8,746.86 = 2,750 : x
  2. Step 2: Convert to fraction form
    5,828/8,746.86 = 2,750/x
  3. Step 3: Cross multiply
    5,828x = 8,746.86 × 2,750
  4. Step 4: Simplify right side
    5,828x = 24,053,865
  5. Step 5: Solve for x
    x = 24,053,865/5,828
  6. Step 6: Final answer
    x = 4,127.29

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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.