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Finding the Fourth Proportional to 5,758.41, 7,938.13 and 4,074.63

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Solution

The fourth proportional to 5,758.41, 7,938.13 and 4,074.63 is: 5,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.41 : 7,938.13 = 4,074.63 : x
  2. Step 2: Convert to fraction form
    5,758.41/7,938.13 = 4,074.63/x
  3. Step 3: Cross multiply
    5,758.41x = 7,938.13 × 4,074.63
  4. Step 4: Simplify right side
    5,758.41x = 32,344,942.64
  5. Step 5: Solve for x
    x = 32,344,942.64/5,758.41
  6. Step 6: Final answer
    x = 5,616.99

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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.