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Finding the Fourth Proportional to 5,201.16, 7,803.66 and 3,732.11

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Solution

The fourth proportional to 5,201.16, 7,803.66 and 3,732.11 is: 5,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.16 : 7,803.66 = 3,732.11 : x
  2. Step 2: Convert to fraction form
    5,201.16/7,803.66 = 3,732.11/x
  3. Step 3: Cross multiply
    5,201.16x = 7,803.66 × 3,732.11
  4. Step 4: Simplify right side
    5,201.16x = 29,124,117.52
  5. Step 5: Solve for x
    x = 29,124,117.52/5,201.16
  6. Step 6: Final answer
    x = 5,599.54

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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.