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Finding the Fourth Proportional to 3,671.84, 5,507.78 and 898.52

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Solution

The fourth proportional to 3,671.84, 5,507.78 and 898.52 is: 1,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.84 : 5,507.78 = 898.52 : x
  2. Step 2: Convert to fraction form
    3,671.84/5,507.78 = 898.52/x
  3. Step 3: Cross multiply
    3,671.84x = 5,507.78 × 898.52
  4. Step 4: Simplify right side
    3,671.84x = 4,948,850.49
  5. Step 5: Solve for x
    x = 4,948,850.49/3,671.84
  6. Step 6: Final answer
    x = 1,347.78

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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.