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Finding the Fourth Proportional to 3,756.62, 5,184.10 and 2,078.07

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Solution

The fourth proportional to 3,756.62, 5,184.10 and 2,078.07 is: 2,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.62 : 5,184.10 = 2,078.07 : x
  2. Step 2: Convert to fraction form
    3,756.62/5,184.10 = 2,078.07/x
  3. Step 3: Cross multiply
    3,756.62x = 5,184.10 × 2,078.07
  4. Step 4: Simplify right side
    3,756.62x = 10,772,886.38
  5. Step 5: Solve for x
    x = 10,772,886.38/3,756.62
  6. Step 6: Final answer
    x = 2,867.71

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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.