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Finding the Fourth Proportional to 3,773.90, 5,683.46 and 3,437.22

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Solution

The fourth proportional to 3,773.90, 5,683.46 and 3,437.22 is: 5,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.90 : 5,683.46 = 3,437.22 : x
  2. Step 2: Convert to fraction form
    3,773.90/5,683.46 = 3,437.22/x
  3. Step 3: Cross multiply
    3,773.90x = 5,683.46 × 3,437.22
  4. Step 4: Simplify right side
    3,773.90x = 19,535,306.51
  5. Step 5: Solve for x
    x = 19,535,306.51/3,773.90
  6. Step 6: Final answer
    x = 5,176.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.