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Finding the Fourth Proportional to 4,135.88, 5,706.71 and 2,642.65

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Solution

The fourth proportional to 4,135.88, 5,706.71 and 2,642.65 is: 3,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.88 : 5,706.71 = 2,642.65 : x
  2. Step 2: Convert to fraction form
    4,135.88/5,706.71 = 2,642.65/x
  3. Step 3: Cross multiply
    4,135.88x = 5,706.71 × 2,642.65
  4. Step 4: Simplify right side
    4,135.88x = 15,080,837.18
  5. Step 5: Solve for x
    x = 15,080,837.18/4,135.88
  6. Step 6: Final answer
    x = 3,646.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.