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Finding the Fourth Proportional to 5,664.83, 7,817.20 and 3,147.10

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Solution

The fourth proportional to 5,664.83, 7,817.20 and 3,147.10 is: 4,342.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.83 : 7,817.20 = 3,147.10 : x
  2. Step 2: Convert to fraction form
    5,664.83/7,817.20 = 3,147.10/x
  3. Step 3: Cross multiply
    5,664.83x = 7,817.20 × 3,147.10
  4. Step 4: Simplify right side
    5,664.83x = 24,601,510.12
  5. Step 5: Solve for x
    x = 24,601,510.12/5,664.83
  6. Step 6: Final answer
    x = 4,342.85

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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.