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Finding the Fourth Proportional to 3,673.85, 5,065.13 and 2,345.24

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Solution

The fourth proportional to 3,673.85, 5,065.13 and 2,345.24 is: 3,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.85 : 5,065.13 = 2,345.24 : x
  2. Step 2: Convert to fraction form
    3,673.85/5,065.13 = 2,345.24/x
  3. Step 3: Cross multiply
    3,673.85x = 5,065.13 × 2,345.24
  4. Step 4: Simplify right side
    3,673.85x = 11,878,964.01
  5. Step 5: Solve for x
    x = 11,878,964.01/3,673.85
  6. Step 6: Final answer
    x = 3,233.39

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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.