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Finding the Fourth Proportional to 5,203.15, 7,806.08 and 1,505.66

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Solution

The fourth proportional to 5,203.15, 7,806.08 and 1,505.66 is: 2,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.15 : 7,806.08 = 1,505.66 : x
  2. Step 2: Convert to fraction form
    5,203.15/7,806.08 = 1,505.66/x
  3. Step 3: Cross multiply
    5,203.15x = 7,806.08 × 1,505.66
  4. Step 4: Simplify right side
    5,203.15x = 11,753,325.69
  5. Step 5: Solve for x
    x = 11,753,325.69/5,203.15
  6. Step 6: Final answer
    x = 2,258.89

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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.