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Finding the Fourth Proportional to 5,641.92, 8,463.68 and 1,746.63

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Solution

The fourth proportional to 5,641.92, 8,463.68 and 1,746.63 is: 2,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.92 : 8,463.68 = 1,746.63 : x
  2. Step 2: Convert to fraction form
    5,641.92/8,463.68 = 1,746.63/x
  3. Step 3: Cross multiply
    5,641.92x = 8,463.68 × 1,746.63
  4. Step 4: Simplify right side
    5,641.92x = 14,782,879.45
  5. Step 5: Solve for x
    x = 14,782,879.45/5,641.92
  6. Step 6: Final answer
    x = 2,620.19

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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.