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Finding the Fourth Proportional to 5,044.68, 7,572.47 and 4,268.30

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Solution

The fourth proportional to 5,044.68, 7,572.47 and 4,268.30 is: 6,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.68 : 7,572.47 = 4,268.30 : x
  2. Step 2: Convert to fraction form
    5,044.68/7,572.47 = 4,268.30/x
  3. Step 3: Cross multiply
    5,044.68x = 7,572.47 × 4,268.30
  4. Step 4: Simplify right side
    5,044.68x = 32,321,514.50
  5. Step 5: Solve for x
    x = 32,321,514.50/5,044.68
  6. Step 6: Final answer
    x = 6,407.05

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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.