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Finding the Fourth Proportional to 5,407.83, 7,462.53 and 3,049.52

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Solution

The fourth proportional to 5,407.83, 7,462.53 and 3,049.52 is: 4,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.83 : 7,462.53 = 3,049.52 : x
  2. Step 2: Convert to fraction form
    5,407.83/7,462.53 = 3,049.52/x
  3. Step 3: Cross multiply
    5,407.83x = 7,462.53 × 3,049.52
  4. Step 4: Simplify right side
    5,407.83x = 22,757,097.17
  5. Step 5: Solve for x
    x = 22,757,097.17/5,407.83
  6. Step 6: Final answer
    x = 4,208.18

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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.