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Finding the Fourth Proportional to 4,758.54, 6,559.17 and 3,748.65

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Solution

The fourth proportional to 4,758.54, 6,559.17 and 3,748.65 is: 5,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.54 : 6,559.17 = 3,748.65 : x
  2. Step 2: Convert to fraction form
    4,758.54/6,559.17 = 3,748.65/x
  3. Step 3: Cross multiply
    4,758.54x = 6,559.17 × 3,748.65
  4. Step 4: Simplify right side
    4,758.54x = 24,588,032.62
  5. Step 5: Solve for x
    x = 24,588,032.62/4,758.54
  6. Step 6: Final answer
    x = 5,167.14

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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.