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Finding the Fourth Proportional to 5,736.68, 8,586.30 and 3,547.16

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Solution

The fourth proportional to 5,736.68, 8,586.30 and 3,547.16 is: 5,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.68 : 8,586.30 = 3,547.16 : x
  2. Step 2: Convert to fraction form
    5,736.68/8,586.30 = 3,547.16/x
  3. Step 3: Cross multiply
    5,736.68x = 8,586.30 × 3,547.16
  4. Step 4: Simplify right side
    5,736.68x = 30,456,979.91
  5. Step 5: Solve for x
    x = 30,456,979.91/5,736.68
  6. Step 6: Final answer
    x = 5,309.16

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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.