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Finding the Fourth Proportional to 5,834.08, 8,754.72 and 2,547.20

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Solution

The fourth proportional to 5,834.08, 8,754.72 and 2,547.20 is: 3,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.08 : 8,754.72 = 2,547.20 : x
  2. Step 2: Convert to fraction form
    5,834.08/8,754.72 = 2,547.20/x
  3. Step 3: Cross multiply
    5,834.08x = 8,754.72 × 2,547.20
  4. Step 4: Simplify right side
    5,834.08x = 22,300,022.78
  5. Step 5: Solve for x
    x = 22,300,022.78/5,834.08
  6. Step 6: Final answer
    x = 3,822.37

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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.