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Finding the Fourth Proportional to 3,534.80, 5,302.26 and 1,069.65

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Solution

The fourth proportional to 3,534.80, 5,302.26 and 1,069.65 is: 1,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.80 : 5,302.26 = 1,069.65 : x
  2. Step 2: Convert to fraction form
    3,534.80/5,302.26 = 1,069.65/x
  3. Step 3: Cross multiply
    3,534.80x = 5,302.26 × 1,069.65
  4. Step 4: Simplify right side
    3,534.80x = 5,671,562.41
  5. Step 5: Solve for x
    x = 5,671,562.41/3,534.80
  6. Step 6: Final answer
    x = 1,604.49

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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.