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Finding the Fourth Proportional to 4,591.17, 6,885.54 and 1,993.50

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Solution

The fourth proportional to 4,591.17, 6,885.54 and 1,993.50 is: 2,989.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.17 : 6,885.54 = 1,993.50 : x
  2. Step 2: Convert to fraction form
    4,591.17/6,885.54 = 1,993.50/x
  3. Step 3: Cross multiply
    4,591.17x = 6,885.54 × 1,993.50
  4. Step 4: Simplify right side
    4,591.17x = 13,726,323.99
  5. Step 5: Solve for x
    x = 13,726,323.99/4,591.17
  6. Step 6: Final answer
    x = 2,989.72

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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.