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Finding the Fourth Proportional to 3,775.29, 5,210.49 and 3,609.19

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Solution

The fourth proportional to 3,775.29, 5,210.49 and 3,609.19 is: 4,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.29 : 5,210.49 = 3,609.19 : x
  2. Step 2: Convert to fraction form
    3,775.29/5,210.49 = 3,609.19/x
  3. Step 3: Cross multiply
    3,775.29x = 5,210.49 × 3,609.19
  4. Step 4: Simplify right side
    3,775.29x = 18,805,648.40
  5. Step 5: Solve for x
    x = 18,805,648.40/3,775.29
  6. Step 6: Final answer
    x = 4,981.25

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