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Finding the Fourth Proportional to 4,054.57, 6,082.68 and 1,714.57

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Solution

The fourth proportional to 4,054.57, 6,082.68 and 1,714.57 is: 2,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,054.57 : 6,082.68 = 1,714.57 : x
  2. Step 2: Convert to fraction form
    4,054.57/6,082.68 = 1,714.57/x
  3. Step 3: Cross multiply
    4,054.57x = 6,082.68 × 1,714.57
  4. Step 4: Simplify right side
    4,054.57x = 10,429,158.61
  5. Step 5: Solve for x
    x = 10,429,158.61/4,054.57
  6. Step 6: Final answer
    x = 2,572.20

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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.