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Finding the Fourth Proportional to 3,517.90, 5,277.02 and 920.84

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Solution

The fourth proportional to 3,517.90, 5,277.02 and 920.84 is: 1,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.90 : 5,277.02 = 920.84 : x
  2. Step 2: Convert to fraction form
    3,517.90/5,277.02 = 920.84/x
  3. Step 3: Cross multiply
    3,517.90x = 5,277.02 × 920.84
  4. Step 4: Simplify right side
    3,517.90x = 4,859,291.10
  5. Step 5: Solve for x
    x = 4,859,291.10/3,517.90
  6. Step 6: Final answer
    x = 1,381.30

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1.5x scale

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.