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Finding the Fourth Proportional to 3,604.96, 5,406.08 and 1,264.24

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Solution

The fourth proportional to 3,604.96, 5,406.08 and 1,264.24 is: 1,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,604.96 : 5,406.08 = 1,264.24 : x
  2. Step 2: Convert to fraction form
    3,604.96/5,406.08 = 1,264.24/x
  3. Step 3: Cross multiply
    3,604.96x = 5,406.08 × 1,264.24
  4. Step 4: Simplify right side
    3,604.96x = 6,834,582.58
  5. Step 5: Solve for x
    x = 6,834,582.58/3,604.96
  6. Step 6: Final answer
    x = 1,895.88

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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.