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Finding the Fourth Proportional to 5,784.52, 7,982.10 and 3,301

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Solution

The fourth proportional to 5,784.52, 7,982.10 and 3,301 is: 4,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.52 : 7,982.10 = 3,301 : x
  2. Step 2: Convert to fraction form
    5,784.52/7,982.10 = 3,301/x
  3. Step 3: Cross multiply
    5,784.52x = 7,982.10 × 3,301
  4. Step 4: Simplify right side
    5,784.52x = 26,348,912.10
  5. Step 5: Solve for x
    x = 26,348,912.10/5,784.52
  6. Step 6: Final answer
    x = 4,555.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.