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Finding the Fourth Proportional to 3,466.99, 5,200.49 and 869.93

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Solution

The fourth proportional to 3,466.99, 5,200.49 and 869.93 is: 1,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.99 : 5,200.49 = 869.93 : x
  2. Step 2: Convert to fraction form
    3,466.99/5,200.49 = 869.93/x
  3. Step 3: Cross multiply
    3,466.99x = 5,200.49 × 869.93
  4. Step 4: Simplify right side
    3,466.99x = 4,524,062.27
  5. Step 5: Solve for x
    x = 4,524,062.27/3,466.99
  6. Step 6: Final answer
    x = 1,304.90

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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.