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Finding the Fourth Proportional to 3,582.28, 5,372.96 and 985.42

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Solution

The fourth proportional to 3,582.28, 5,372.96 and 985.42 is: 1,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.28 : 5,372.96 = 985.42 : x
  2. Step 2: Convert to fraction form
    3,582.28/5,372.96 = 985.42/x
  3. Step 3: Cross multiply
    3,582.28x = 5,372.96 × 985.42
  4. Step 4: Simplify right side
    3,582.28x = 5,294,622.24
  5. Step 5: Solve for x
    x = 5,294,622.24/3,582.28
  6. Step 6: Final answer
    x = 1,478.00

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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.