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Finding the Fourth Proportional to 4,471.66, 6,700.33 and 3,775.06

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Solution

The fourth proportional to 4,471.66, 6,700.33 and 3,775.06 is: 5,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.66 : 6,700.33 = 3,775.06 : x
  2. Step 2: Convert to fraction form
    4,471.66/6,700.33 = 3,775.06/x
  3. Step 3: Cross multiply
    4,471.66x = 6,700.33 × 3,775.06
  4. Step 4: Simplify right side
    4,471.66x = 25,294,147.77
  5. Step 5: Solve for x
    x = 25,294,147.77/4,471.66
  6. Step 6: Final answer
    x = 5,656.55

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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.