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Finding the Fourth Proportional to 5,159.75, 7,734.32 and 2,038.49

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Solution

The fourth proportional to 5,159.75, 7,734.32 and 2,038.49 is: 3,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.75 : 7,734.32 = 2,038.49 : x
  2. Step 2: Convert to fraction form
    5,159.75/7,734.32 = 2,038.49/x
  3. Step 3: Cross multiply
    5,159.75x = 7,734.32 × 2,038.49
  4. Step 4: Simplify right side
    5,159.75x = 15,766,300.40
  5. Step 5: Solve for x
    x = 15,766,300.40/5,159.75
  6. Step 6: Final answer
    x = 3,055.64

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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.