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Finding the Fourth Proportional to 5,204.02, 7,806.02 and 4,125.10

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Solution

The fourth proportional to 5,204.02, 7,806.02 and 4,125.10 is: 6,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.02 : 7,806.02 = 4,125.10 : x
  2. Step 2: Convert to fraction form
    5,204.02/7,806.02 = 4,125.10/x
  3. Step 3: Cross multiply
    5,204.02x = 7,806.02 × 4,125.10
  4. Step 4: Simplify right side
    5,204.02x = 32,200,613.10
  5. Step 5: Solve for x
    x = 32,200,613.10/5,204.02
  6. Step 6: Final answer
    x = 6,187.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.