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Finding the Fourth Proportional to 4,805.74, 7,208.86 and 4,542.79

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Solution

The fourth proportional to 4,805.74, 7,208.86 and 4,542.79 is: 6,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.74 : 7,208.86 = 4,542.79 : x
  2. Step 2: Convert to fraction form
    4,805.74/7,208.86 = 4,542.79/x
  3. Step 3: Cross multiply
    4,805.74x = 7,208.86 × 4,542.79
  4. Step 4: Simplify right side
    4,805.74x = 32,748,301.08
  5. Step 5: Solve for x
    x = 32,748,301.08/4,805.74
  6. Step 6: Final answer
    x = 6,814.42

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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.