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Finding the Fourth Proportional to 3,534.58, 5,302.70 and 1,069.42

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Solution

The fourth proportional to 3,534.58, 5,302.70 and 1,069.42 is: 1,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.58 : 5,302.70 = 1,069.42 : x
  2. Step 2: Convert to fraction form
    3,534.58/5,302.70 = 1,069.42/x
  3. Step 3: Cross multiply
    3,534.58x = 5,302.70 × 1,069.42
  4. Step 4: Simplify right side
    3,534.58x = 5,670,813.43
  5. Step 5: Solve for x
    x = 5,670,813.43/3,534.58
  6. Step 6: Final answer
    x = 1,604.38

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1.5x scale

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.