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Finding the Fourth Proportional to 3,657.71, 5,486.74 and 1,192.52

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Solution

The fourth proportional to 3,657.71, 5,486.74 and 1,192.52 is: 1,788.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.71 : 5,486.74 = 1,192.52 : x
  2. Step 2: Convert to fraction form
    3,657.71/5,486.74 = 1,192.52/x
  3. Step 3: Cross multiply
    3,657.71x = 5,486.74 × 1,192.52
  4. Step 4: Simplify right side
    3,657.71x = 6,543,057.92
  5. Step 5: Solve for x
    x = 6,543,057.92/3,657.71
  6. Step 6: Final answer
    x = 1,788.84

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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.