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Finding the Fourth Proportional to 3,887.19, 5,824.65 and 2,424.15

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Solution

The fourth proportional to 3,887.19, 5,824.65 and 2,424.15 is: 3,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.19 : 5,824.65 = 2,424.15 : x
  2. Step 2: Convert to fraction form
    3,887.19/5,824.65 = 2,424.15/x
  3. Step 3: Cross multiply
    3,887.19x = 5,824.65 × 2,424.15
  4. Step 4: Simplify right side
    3,887.19x = 14,119,825.30
  5. Step 5: Solve for x
    x = 14,119,825.30/3,887.19
  6. Step 6: Final answer
    x = 3,632.40

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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.