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Finding the Fourth Proportional to 3,953.19, 5,929.98 and 1,761.93

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Solution

The fourth proportional to 3,953.19, 5,929.98 and 1,761.93 is: 2,642.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.19 : 5,929.98 = 1,761.93 : x
  2. Step 2: Convert to fraction form
    3,953.19/5,929.98 = 1,761.93/x
  3. Step 3: Cross multiply
    3,953.19x = 5,929.98 × 1,761.93
  4. Step 4: Simplify right side
    3,953.19x = 10,448,209.66
  5. Step 5: Solve for x
    x = 10,448,209.66/3,953.19
  6. Step 6: Final answer
    x = 2,642.98

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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.