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Finding the Fourth Proportional to 5,742.61, 7,924.19 and 3,224.99

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Solution

The fourth proportional to 5,742.61, 7,924.19 and 3,224.99 is: 4,450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.61 : 7,924.19 = 3,224.99 : x
  2. Step 2: Convert to fraction form
    5,742.61/7,924.19 = 3,224.99/x
  3. Step 3: Cross multiply
    5,742.61x = 7,924.19 × 3,224.99
  4. Step 4: Simplify right side
    5,742.61x = 25,555,417.38
  5. Step 5: Solve for x
    x = 25,555,417.38/5,742.61
  6. Step 6: Final answer
    x = 4,450.14

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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.