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Finding the Fourth Proportional to 3,643.22, 5,465.02 and 1,178.12

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Solution

The fourth proportional to 3,643.22, 5,465.02 and 1,178.12 is: 1,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.22 : 5,465.02 = 1,178.12 : x
  2. Step 2: Convert to fraction form
    3,643.22/5,465.02 = 1,178.12/x
  3. Step 3: Cross multiply
    3,643.22x = 5,465.02 × 1,178.12
  4. Step 4: Simplify right side
    3,643.22x = 6,438,449.36
  5. Step 5: Solve for x
    x = 6,438,449.36/3,643.22
  6. Step 6: Final answer
    x = 1,767.24

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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.