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Finding the Fourth Proportional to 3,700.62, 5,106.24 and 2,374.07

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Solution

The fourth proportional to 3,700.62, 5,106.24 and 2,374.07 is: 3,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.62 : 5,106.24 = 2,374.07 : x
  2. Step 2: Convert to fraction form
    3,700.62/5,106.24 = 2,374.07/x
  3. Step 3: Cross multiply
    3,700.62x = 5,106.24 × 2,374.07
  4. Step 4: Simplify right side
    3,700.62x = 12,122,545.67
  5. Step 5: Solve for x
    x = 12,122,545.67/3,700.62
  6. Step 6: Final answer
    x = 3,275.81

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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.