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Finding the Fourth Proportional to 5,753.40, 8,623.08 and 3,806.16

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Solution

The fourth proportional to 5,753.40, 8,623.08 and 3,806.16 is: 5,704.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.40 : 8,623.08 = 3,806.16 : x
  2. Step 2: Convert to fraction form
    5,753.40/8,623.08 = 3,806.16/x
  3. Step 3: Cross multiply
    5,753.40x = 8,623.08 × 3,806.16
  4. Step 4: Simplify right side
    5,753.40x = 32,820,822.17
  5. Step 5: Solve for x
    x = 32,820,822.17/5,753.40
  6. Step 6: Final answer
    x = 5,704.60

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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.