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Finding the Fourth Proportional to 3,482.64, 5,219.64 and 1,751.76

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Solution

The fourth proportional to 3,482.64, 5,219.64 and 1,751.76 is: 2,625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.64 : 5,219.64 = 1,751.76 : x
  2. Step 2: Convert to fraction form
    3,482.64/5,219.64 = 1,751.76/x
  3. Step 3: Cross multiply
    3,482.64x = 5,219.64 × 1,751.76
  4. Step 4: Simplify right side
    3,482.64x = 9,143,556.57
  5. Step 5: Solve for x
    x = 9,143,556.57/3,482.64
  6. Step 6: Final answer
    x = 2,625.47

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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.