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Finding the Fourth Proportional to 3,672.50, 5,508.78 and 1,364

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Solution

The fourth proportional to 3,672.50, 5,508.78 and 1,364 is: 2,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.50 : 5,508.78 = 1,364 : x
  2. Step 2: Convert to fraction form
    3,672.50/5,508.78 = 1,364/x
  3. Step 3: Cross multiply
    3,672.50x = 5,508.78 × 1,364
  4. Step 4: Simplify right side
    3,672.50x = 7,513,975.92
  5. Step 5: Solve for x
    x = 7,513,975.92/3,672.50
  6. Step 6: Final answer
    x = 2,046.01

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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.