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Finding the Fourth Proportional to 3,867.63, 5,800.52 and 1,785.63

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Solution

The fourth proportional to 3,867.63, 5,800.52 and 1,785.63 is: 2,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.63 : 5,800.52 = 1,785.63 : x
  2. Step 2: Convert to fraction form
    3,867.63/5,800.52 = 1,785.63/x
  3. Step 3: Cross multiply
    3,867.63x = 5,800.52 × 1,785.63
  4. Step 4: Simplify right side
    3,867.63x = 10,357,595.35
  5. Step 5: Solve for x
    x = 10,357,595.35/3,867.63
  6. Step 6: Final answer
    x = 2,678.02

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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.