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Finding the Fourth Proportional to 3,409.16, 5,114.07 and 910.31

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Solution

The fourth proportional to 3,409.16, 5,114.07 and 910.31 is: 1,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.16 : 5,114.07 = 910.31 : x
  2. Step 2: Convert to fraction form
    3,409.16/5,114.07 = 910.31/x
  3. Step 3: Cross multiply
    3,409.16x = 5,114.07 × 910.31
  4. Step 4: Simplify right side
    3,409.16x = 4,655,363.49
  5. Step 5: Solve for x
    x = 4,655,363.49/3,409.16
  6. Step 6: Final answer
    x = 1,365.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.