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Finding the Fourth Proportional to 5,641.17, 8,462.56 and 1,745.88

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Solution

The fourth proportional to 5,641.17, 8,462.56 and 1,745.88 is: 2,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.17 : 8,462.56 = 1,745.88 : x
  2. Step 2: Convert to fraction form
    5,641.17/8,462.56 = 1,745.88/x
  3. Step 3: Cross multiply
    5,641.17x = 8,462.56 × 1,745.88
  4. Step 4: Simplify right side
    5,641.17x = 14,774,614.25
  5. Step 5: Solve for x
    x = 14,774,614.25/5,641.17
  6. Step 6: Final answer
    x = 2,619.07

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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.