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Finding the Fourth Proportional to 3,649.80, 5,473.80 and 1,458.96

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Solution

The fourth proportional to 3,649.80, 5,473.80 and 1,458.96 is: 2,188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.80 : 5,473.80 = 1,458.96 : x
  2. Step 2: Convert to fraction form
    3,649.80/5,473.80 = 1,458.96/x
  3. Step 3: Cross multiply
    3,649.80x = 5,473.80 × 1,458.96
  4. Step 4: Simplify right side
    3,649.80x = 7,986,055.25
  5. Step 5: Solve for x
    x = 7,986,055.25/3,649.80
  6. Step 6: Final answer
    x = 2,188.08

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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.