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Finding the Fourth Proportional to 3,152.27, 4,721.21 and 1,509.98

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Solution

The fourth proportional to 3,152.27, 4,721.21 and 1,509.98 is: 2,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.27 : 4,721.21 = 1,509.98 : x
  2. Step 2: Convert to fraction form
    3,152.27/4,721.21 = 1,509.98/x
  3. Step 3: Cross multiply
    3,152.27x = 4,721.21 × 1,509.98
  4. Step 4: Simplify right side
    3,152.27x = 7,128,932.68
  5. Step 5: Solve for x
    x = 7,128,932.68/3,152.27
  6. Step 6: Final answer
    x = 2,261.52

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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.