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Finding the Fourth Proportional to 3,750.64, 5,174.28 and 2,424.48

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Solution

The fourth proportional to 3,750.64, 5,174.28 and 2,424.48 is: 3,344.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.64 : 5,174.28 = 2,424.48 : x
  2. Step 2: Convert to fraction form
    3,750.64/5,174.28 = 2,424.48/x
  3. Step 3: Cross multiply
    3,750.64x = 5,174.28 × 2,424.48
  4. Step 4: Simplify right side
    3,750.64x = 12,544,938.37
  5. Step 5: Solve for x
    x = 12,544,938.37/3,750.64
  6. Step 6: Final answer
    x = 3,344.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.