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Finding the Fourth Proportional to 5,805.16, 8,709.90 and 2,725

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Solution

The fourth proportional to 5,805.16, 8,709.90 and 2,725 is: 4,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.16 : 8,709.90 = 2,725 : x
  2. Step 2: Convert to fraction form
    5,805.16/8,709.90 = 2,725/x
  3. Step 3: Cross multiply
    5,805.16x = 8,709.90 × 2,725
  4. Step 4: Simplify right side
    5,805.16x = 23,734,477.50
  5. Step 5: Solve for x
    x = 23,734,477.50/5,805.16
  6. Step 6: Final answer
    x = 4,088.51

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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.