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Finding the Fourth Proportional to 5,465.42, 7,542.30 and 2,981.42

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Solution

The fourth proportional to 5,465.42, 7,542.30 and 2,981.42 is: 4,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.42 : 7,542.30 = 2,981.42 : x
  2. Step 2: Convert to fraction form
    5,465.42/7,542.30 = 2,981.42/x
  3. Step 3: Cross multiply
    5,465.42x = 7,542.30 × 2,981.42
  4. Step 4: Simplify right side
    5,465.42x = 22,486,764.07
  5. Step 5: Solve for x
    x = 22,486,764.07/5,465.42
  6. Step 6: Final answer
    x = 4,114.37

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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.