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Finding the Fourth Proportional to 4,537.68, 6,805.08 and 3,086.16

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Solution

The fourth proportional to 4,537.68, 6,805.08 and 3,086.16 is: 4,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.68 : 6,805.08 = 3,086.16 : x
  2. Step 2: Convert to fraction form
    4,537.68/6,805.08 = 3,086.16/x
  3. Step 3: Cross multiply
    4,537.68x = 6,805.08 × 3,086.16
  4. Step 4: Simplify right side
    4,537.68x = 21,001,565.69
  5. Step 5: Solve for x
    x = 21,001,565.69/4,537.68
  6. Step 6: Final answer
    x = 4,628.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.