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Finding the Fourth Proportional to 5,893, 8,839.52 and 1,789

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Solution

The fourth proportional to 5,893, 8,839.52 and 1,789 is: 2,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893 : 8,839.52 = 1,789 : x
  2. Step 2: Convert to fraction form
    5,893/8,839.52 = 1,789/x
  3. Step 3: Cross multiply
    5,893x = 8,839.52 × 1,789
  4. Step 4: Simplify right side
    5,893x = 15,813,901.28
  5. Step 5: Solve for x
    x = 15,813,901.28/5,893
  6. Step 6: Final answer
    x = 2,683.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.