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Finding the Fourth Proportional to 4,701.87, 7,056 and 2,512.17

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Solution

The fourth proportional to 4,701.87, 7,056 and 2,512.17 is: 3,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.87 : 7,056 = 2,512.17 : x
  2. Step 2: Convert to fraction form
    4,701.87/7,056 = 2,512.17/x
  3. Step 3: Cross multiply
    4,701.87x = 7,056 × 2,512.17
  4. Step 4: Simplify right side
    4,701.87x = 17,725,871.52
  5. Step 5: Solve for x
    x = 17,725,871.52/4,701.87
  6. Step 6: Final answer
    x = 3,769.96

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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.