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Finding the Fourth Proportional to 4,977.52, 7,462.19 and 2,343.74

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Solution

The fourth proportional to 4,977.52, 7,462.19 and 2,343.74 is: 3,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.52 : 7,462.19 = 2,343.74 : x
  2. Step 2: Convert to fraction form
    4,977.52/7,462.19 = 2,343.74/x
  3. Step 3: Cross multiply
    4,977.52x = 7,462.19 × 2,343.74
  4. Step 4: Simplify right side
    4,977.52x = 17,489,401.74
  5. Step 5: Solve for x
    x = 17,489,401.74/4,977.52
  6. Step 6: Final answer
    x = 3,513.68

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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.