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Finding the Fourth Proportional to 5,444.80, 8,167.80 and 1,746.40

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Solution

The fourth proportional to 5,444.80, 8,167.80 and 1,746.40 is: 2,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.80 : 8,167.80 = 1,746.40 : x
  2. Step 2: Convert to fraction form
    5,444.80/8,167.80 = 1,746.40/x
  3. Step 3: Cross multiply
    5,444.80x = 8,167.80 × 1,746.40
  4. Step 4: Simplify right side
    5,444.80x = 14,264,245.92
  5. Step 5: Solve for x
    x = 14,264,245.92/5,444.80
  6. Step 6: Final answer
    x = 2,619.79

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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.