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Finding the Fourth Proportional to 3,309.52, 4,960.56 and 1,574.50

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Solution

The fourth proportional to 3,309.52, 4,960.56 and 1,574.50 is: 2,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.52 : 4,960.56 = 1,574.50 : x
  2. Step 2: Convert to fraction form
    3,309.52/4,960.56 = 1,574.50/x
  3. Step 3: Cross multiply
    3,309.52x = 4,960.56 × 1,574.50
  4. Step 4: Simplify right side
    3,309.52x = 7,810,401.72
  5. Step 5: Solve for x
    x = 7,810,401.72/3,309.52
  6. Step 6: Final answer
    x = 2,359.98

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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.