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Finding the Fourth Proportional to 3,507.84, 5,264.78 and 1,429

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Solution

The fourth proportional to 3,507.84, 5,264.78 and 1,429 is: 2,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.84 : 5,264.78 = 1,429 : x
  2. Step 2: Convert to fraction form
    3,507.84/5,264.78 = 1,429/x
  3. Step 3: Cross multiply
    3,507.84x = 5,264.78 × 1,429
  4. Step 4: Simplify right side
    3,507.84x = 7,523,370.62
  5. Step 5: Solve for x
    x = 7,523,370.62/3,507.84
  6. Step 6: Final answer
    x = 2,144.73

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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.