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Finding the Fourth Proportional to 3,924.81, 5,888.12 and 1,292.40

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Solution

The fourth proportional to 3,924.81, 5,888.12 and 1,292.40 is: 1,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.81 : 5,888.12 = 1,292.40 : x
  2. Step 2: Convert to fraction form
    3,924.81/5,888.12 = 1,292.40/x
  3. Step 3: Cross multiply
    3,924.81x = 5,888.12 × 1,292.40
  4. Step 4: Simplify right side
    3,924.81x = 7,609,799.83
  5. Step 5: Solve for x
    x = 7,609,799.83/3,924.81
  6. Step 6: Final answer
    x = 1,938.90

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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.