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Finding the Fourth Proportional to 3,454.88, 5,181.40 and 1,506.64

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Solution

The fourth proportional to 3,454.88, 5,181.40 and 1,506.64 is: 2,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.88 : 5,181.40 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    3,454.88/5,181.40 = 1,506.64/x
  3. Step 3: Cross multiply
    3,454.88x = 5,181.40 × 1,506.64
  4. Step 4: Simplify right side
    3,454.88x = 7,806,504.50
  5. Step 5: Solve for x
    x = 7,806,504.50/3,454.88
  6. Step 6: Final answer
    x = 2,259.56

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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.