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Finding the Fourth Proportional to 3,562.02, 5,342.41 and 964.35

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Solution

The fourth proportional to 3,562.02, 5,342.41 and 964.35 is: 1,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.02 : 5,342.41 = 964.35 : x
  2. Step 2: Convert to fraction form
    3,562.02/5,342.41 = 964.35/x
  3. Step 3: Cross multiply
    3,562.02x = 5,342.41 × 964.35
  4. Step 4: Simplify right side
    3,562.02x = 5,151,953.08
  5. Step 5: Solve for x
    x = 5,151,953.08/3,562.02
  6. Step 6: Final answer
    x = 1,446.36

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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.