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Finding the Fourth Proportional to 5,763.17, 8,641.67 and 1,813.69

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Solution

The fourth proportional to 5,763.17, 8,641.67 and 1,813.69 is: 2,719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.17 : 8,641.67 = 1,813.69 : x
  2. Step 2: Convert to fraction form
    5,763.17/8,641.67 = 1,813.69/x
  3. Step 3: Cross multiply
    5,763.17x = 8,641.67 × 1,813.69
  4. Step 4: Simplify right side
    5,763.17x = 15,673,312.20
  5. Step 5: Solve for x
    x = 15,673,312.20/5,763.17
  6. Step 6: Final answer
    x = 2,719.56

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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.