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Finding the Fourth Proportional to 3,646.96, 5,470.44 and 910.96

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Solution

The fourth proportional to 3,646.96, 5,470.44 and 910.96 is: 1,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.96 : 5,470.44 = 910.96 : x
  2. Step 2: Convert to fraction form
    3,646.96/5,470.44 = 910.96/x
  3. Step 3: Cross multiply
    3,646.96x = 5,470.44 × 910.96
  4. Step 4: Simplify right side
    3,646.96x = 4,983,352.02
  5. Step 5: Solve for x
    x = 4,983,352.02/3,646.96
  6. Step 6: Final answer
    x = 1,366.44

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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.