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Finding the Fourth Proportional to 5,641.29, 8,461.71 and 1,745.67

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Solution

The fourth proportional to 5,641.29, 8,461.71 and 1,745.67 is: 2,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.29 : 8,461.71 = 1,745.67 : x
  2. Step 2: Convert to fraction form
    5,641.29/8,461.71 = 1,745.67/x
  3. Step 3: Cross multiply
    5,641.29x = 8,461.71 × 1,745.67
  4. Step 4: Simplify right side
    5,641.29x = 14,771,353.30
  5. Step 5: Solve for x
    x = 14,771,353.30/5,641.29
  6. Step 6: Final answer
    x = 2,618.44

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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.