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Finding the Fourth Proportional to 5,266.99, 7,900.40 and 1,569.24

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Solution

The fourth proportional to 5,266.99, 7,900.40 and 1,569.24 is: 2,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.99 : 7,900.40 = 1,569.24 : x
  2. Step 2: Convert to fraction form
    5,266.99/7,900.40 = 1,569.24/x
  3. Step 3: Cross multiply
    5,266.99x = 7,900.40 × 1,569.24
  4. Step 4: Simplify right side
    5,266.99x = 12,397,627.62
  5. Step 5: Solve for x
    x = 12,397,627.62/5,266.99
  6. Step 6: Final answer
    x = 2,353.84

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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.