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Finding the Fourth Proportional to 5,158.74, 7,738.41 and 1,872.18

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Solution

The fourth proportional to 5,158.74, 7,738.41 and 1,872.18 is: 2,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.74 : 7,738.41 = 1,872.18 : x
  2. Step 2: Convert to fraction form
    5,158.74/7,738.41 = 1,872.18/x
  3. Step 3: Cross multiply
    5,158.74x = 7,738.41 × 1,872.18
  4. Step 4: Simplify right side
    5,158.74x = 14,487,696.43
  5. Step 5: Solve for x
    x = 14,487,696.43/5,158.74
  6. Step 6: Final answer
    x = 2,808.38

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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.