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Finding the Fourth Proportional to 3,902.99, 5,854.51 and 1,563.19

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Solution

The fourth proportional to 3,902.99, 5,854.51 and 1,563.19 is: 2,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.99 : 5,854.51 = 1,563.19 : x
  2. Step 2: Convert to fraction form
    3,902.99/5,854.51 = 1,563.19/x
  3. Step 3: Cross multiply
    3,902.99x = 5,854.51 × 1,563.19
  4. Step 4: Simplify right side
    3,902.99x = 9,151,711.49
  5. Step 5: Solve for x
    x = 9,151,711.49/3,902.99
  6. Step 6: Final answer
    x = 2,344.80

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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.