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Finding the Fourth Proportional to 5,764.12, 7,954.02 and 3,280.12

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Solution

The fourth proportional to 5,764.12, 7,954.02 and 3,280.12 is: 4,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.12 : 7,954.02 = 3,280.12 : x
  2. Step 2: Convert to fraction form
    5,764.12/7,954.02 = 3,280.12/x
  3. Step 3: Cross multiply
    5,764.12x = 7,954.02 × 3,280.12
  4. Step 4: Simplify right side
    5,764.12x = 26,090,140.08
  5. Step 5: Solve for x
    x = 26,090,140.08/5,764.12
  6. Step 6: Final answer
    x = 4,526.30

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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.