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Finding the Fourth Proportional to 4,854.92, 7,280.53 and 1,734.34

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Solution

The fourth proportional to 4,854.92, 7,280.53 and 1,734.34 is: 2,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.92 : 7,280.53 = 1,734.34 : x
  2. Step 2: Convert to fraction form
    4,854.92/7,280.53 = 1,734.34/x
  3. Step 3: Cross multiply
    4,854.92x = 7,280.53 × 1,734.34
  4. Step 4: Simplify right side
    4,854.92x = 12,626,914.40
  5. Step 5: Solve for x
    x = 12,626,914.40/4,854.92
  6. Step 6: Final answer
    x = 2,600.85

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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.