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Finding the Fourth Proportional to 3,429.47, 5,144.21 and 964.31

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Solution

The fourth proportional to 3,429.47, 5,144.21 and 964.31 is: 1,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.47 : 5,144.21 = 964.31 : x
  2. Step 2: Convert to fraction form
    3,429.47/5,144.21 = 964.31/x
  3. Step 3: Cross multiply
    3,429.47x = 5,144.21 × 964.31
  4. Step 4: Simplify right side
    3,429.47x = 4,960,582.60
  5. Step 5: Solve for x
    x = 4,960,582.60/3,429.47
  6. Step 6: Final answer
    x = 1,446.46

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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.