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Finding the Fourth Proportional to 3,607.14, 4,977.82 and 1,951.14

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Solution

The fourth proportional to 3,607.14, 4,977.82 and 1,951.14 is: 2,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.14 : 4,977.82 = 1,951.14 : x
  2. Step 2: Convert to fraction form
    3,607.14/4,977.82 = 1,951.14/x
  3. Step 3: Cross multiply
    3,607.14x = 4,977.82 × 1,951.14
  4. Step 4: Simplify right side
    3,607.14x = 9,712,423.71
  5. Step 5: Solve for x
    x = 9,712,423.71/3,607.14
  6. Step 6: Final answer
    x = 2,692.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.