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Finding the Fourth Proportional to 6,575.75, 9,074.54 and 3,781.25

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Solution

The fourth proportional to 6,575.75, 9,074.54 and 3,781.25 is: 5,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.75 : 9,074.54 = 3,781.25 : x
  2. Step 2: Convert to fraction form
    6,575.75/9,074.54 = 3,781.25/x
  3. Step 3: Cross multiply
    6,575.75x = 9,074.54 × 3,781.25
  4. Step 4: Simplify right side
    6,575.75x = 34,313,085.47
  5. Step 5: Solve for x
    x = 34,313,085.47/6,575.75
  6. Step 6: Final answer
    x = 5,218.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.