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Finding the Fourth Proportional to 3,562.39, 5,343.89 and 930.24

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Solution

The fourth proportional to 3,562.39, 5,343.89 and 930.24 is: 1,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.39 : 5,343.89 = 930.24 : x
  2. Step 2: Convert to fraction form
    3,562.39/5,343.89 = 930.24/x
  3. Step 3: Cross multiply
    3,562.39x = 5,343.89 × 930.24
  4. Step 4: Simplify right side
    3,562.39x = 4,971,108.94
  5. Step 5: Solve for x
    x = 4,971,108.94/3,562.39
  6. Step 6: Final answer
    x = 1,395.44

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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.