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Finding the Fourth Proportional to 5,322.72, 7,977.60 and 2,400.24

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Solution

The fourth proportional to 5,322.72, 7,977.60 and 2,400.24 is: 3,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.72 : 7,977.60 = 2,400.24 : x
  2. Step 2: Convert to fraction form
    5,322.72/7,977.60 = 2,400.24/x
  3. Step 3: Cross multiply
    5,322.72x = 7,977.60 × 2,400.24
  4. Step 4: Simplify right side
    5,322.72x = 19,148,154.62
  5. Step 5: Solve for x
    x = 19,148,154.62/5,322.72
  6. Step 6: Final answer
    x = 3,597.44

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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.