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Finding the Fourth Proportional to 5,443.99, 8,165.85 and 1,746.48

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Solution

The fourth proportional to 5,443.99, 8,165.85 and 1,746.48 is: 2,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.99 : 8,165.85 = 1,746.48 : x
  2. Step 2: Convert to fraction form
    5,443.99/8,165.85 = 1,746.48/x
  3. Step 3: Cross multiply
    5,443.99x = 8,165.85 × 1,746.48
  4. Step 4: Simplify right side
    5,443.99x = 14,261,493.71
  5. Step 5: Solve for x
    x = 14,261,493.71/5,443.99
  6. Step 6: Final answer
    x = 2,619.68

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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.