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Finding the Fourth Proportional to 3,599.34, 5,398.58 and 967.04

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Solution

The fourth proportional to 3,599.34, 5,398.58 and 967.04 is: 1,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.34 : 5,398.58 = 967.04 : x
  2. Step 2: Convert to fraction form
    3,599.34/5,398.58 = 967.04/x
  3. Step 3: Cross multiply
    3,599.34x = 5,398.58 × 967.04
  4. Step 4: Simplify right side
    3,599.34x = 5,220,642.80
  5. Step 5: Solve for x
    x = 5,220,642.80/3,599.34
  6. Step 6: Final answer
    x = 1,450.44

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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.