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Finding the Fourth Proportional to 5,641.38, 8,461.56 and 1,745.82

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Solution

The fourth proportional to 5,641.38, 8,461.56 and 1,745.82 is: 2,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.38 : 8,461.56 = 1,745.82 : x
  2. Step 2: Convert to fraction form
    5,641.38/8,461.56 = 1,745.82/x
  3. Step 3: Cross multiply
    5,641.38x = 8,461.56 × 1,745.82
  4. Step 4: Simplify right side
    5,641.38x = 14,772,360.68
  5. Step 5: Solve for x
    x = 14,772,360.68/5,641.38
  6. Step 6: Final answer
    x = 2,618.57

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Double scale
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1.5x scale

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.