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Finding the Fourth Proportional to 3,392.46, 5,087.14 and 1,543.50

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Solution

The fourth proportional to 3,392.46, 5,087.14 and 1,543.50 is: 2,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.46 : 5,087.14 = 1,543.50 : x
  2. Step 2: Convert to fraction form
    3,392.46/5,087.14 = 1,543.50/x
  3. Step 3: Cross multiply
    3,392.46x = 5,087.14 × 1,543.50
  4. Step 4: Simplify right side
    3,392.46x = 7,852,000.59
  5. Step 5: Solve for x
    x = 7,852,000.59/3,392.46
  6. Step 6: Final answer
    x = 2,314.54

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1.5x scale

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.