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Finding the Fourth Proportional to 3,598.16, 5,396.84 and 965.89

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Solution

The fourth proportional to 3,598.16, 5,396.84 and 965.89 is: 1,448.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.16 : 5,396.84 = 965.89 : x
  2. Step 2: Convert to fraction form
    3,598.16/5,396.84 = 965.89/x
  3. Step 3: Cross multiply
    3,598.16x = 5,396.84 × 965.89
  4. Step 4: Simplify right side
    3,598.16x = 5,212,737.92
  5. Step 5: Solve for x
    x = 5,212,737.92/3,598.16
  6. Step 6: Final answer
    x = 1,448.72

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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.