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Finding the Fourth Proportional to 3,809.95, 5,715.74 and 1,619.71

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Solution

The fourth proportional to 3,809.95, 5,715.74 and 1,619.71 is: 2,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.95 : 5,715.74 = 1,619.71 : x
  2. Step 2: Convert to fraction form
    3,809.95/5,715.74 = 1,619.71/x
  3. Step 3: Cross multiply
    3,809.95x = 5,715.74 × 1,619.71
  4. Step 4: Simplify right side
    3,809.95x = 9,257,841.24
  5. Step 5: Solve for x
    x = 9,257,841.24/3,809.95
  6. Step 6: Final answer
    x = 2,429.91

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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.