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Finding the Fourth Proportional to 3,699.69, 5,106.29 and 2,375.07

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Solution

The fourth proportional to 3,699.69, 5,106.29 and 2,375.07 is: 3,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.69 : 5,106.29 = 2,375.07 : x
  2. Step 2: Convert to fraction form
    3,699.69/5,106.29 = 2,375.07/x
  3. Step 3: Cross multiply
    3,699.69x = 5,106.29 × 2,375.07
  4. Step 4: Simplify right side
    3,699.69x = 12,127,784.31
  5. Step 5: Solve for x
    x = 12,127,784.31/3,699.69
  6. Step 6: Final answer
    x = 3,278.05

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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.