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Finding the Fourth Proportional to 3,409.48, 4,726.79 and 3,289.33

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Solution

The fourth proportional to 3,409.48, 4,726.79 and 3,289.33 is: 4,560.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.48 : 4,726.79 = 3,289.33 : x
  2. Step 2: Convert to fraction form
    3,409.48/4,726.79 = 3,289.33/x
  3. Step 3: Cross multiply
    3,409.48x = 4,726.79 × 3,289.33
  4. Step 4: Simplify right side
    3,409.48x = 15,547,972.15
  5. Step 5: Solve for x
    x = 15,547,972.15/3,409.48
  6. Step 6: Final answer
    x = 4,560.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.