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Finding the Fourth Proportional to 3,376.15, 5,064.26 and 910.78

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Solution

The fourth proportional to 3,376.15, 5,064.26 and 910.78 is: 1,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.15 : 5,064.26 = 910.78 : x
  2. Step 2: Convert to fraction form
    3,376.15/5,064.26 = 910.78/x
  3. Step 3: Cross multiply
    3,376.15x = 5,064.26 × 910.78
  4. Step 4: Simplify right side
    3,376.15x = 4,612,409.51
  5. Step 5: Solve for x
    x = 4,612,409.51/3,376.15
  6. Step 6: Final answer
    x = 1,366.18

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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.