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Finding the Fourth Proportional to 3,886.48, 5,824.32 and 2,402.56

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Solution

The fourth proportional to 3,886.48, 5,824.32 and 2,402.56 is: 3,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.48 : 5,824.32 = 2,402.56 : x
  2. Step 2: Convert to fraction form
    3,886.48/5,824.32 = 2,402.56/x
  3. Step 3: Cross multiply
    3,886.48x = 5,824.32 × 2,402.56
  4. Step 4: Simplify right side
    3,886.48x = 13,993,278.26
  5. Step 5: Solve for x
    x = 13,993,278.26/3,886.48
  6. Step 6: Final answer
    x = 3,600.50

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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.