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Finding the Fourth Proportional to 3,659.04, 5,491.14 and 1,468.32

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Solution

The fourth proportional to 3,659.04, 5,491.14 and 1,468.32 is: 2,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.04 : 5,491.14 = 1,468.32 : x
  2. Step 2: Convert to fraction form
    3,659.04/5,491.14 = 1,468.32/x
  3. Step 3: Cross multiply
    3,659.04x = 5,491.14 × 1,468.32
  4. Step 4: Simplify right side
    3,659.04x = 8,062,750.68
  5. Step 5: Solve for x
    x = 8,062,750.68/3,659.04
  6. Step 6: Final answer
    x = 2,203.52

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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.