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Finding the Fourth Proportional to 3,778.22, 5,666.02 and 1,437.66

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Solution

The fourth proportional to 3,778.22, 5,666.02 and 1,437.66 is: 2,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.22 : 5,666.02 = 1,437.66 : x
  2. Step 2: Convert to fraction form
    3,778.22/5,666.02 = 1,437.66/x
  3. Step 3: Cross multiply
    3,778.22x = 5,666.02 × 1,437.66
  4. Step 4: Simplify right side
    3,778.22x = 8,145,810.31
  5. Step 5: Solve for x
    x = 8,145,810.31/3,778.22
  6. Step 6: Final answer
    x = 2,155.99

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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.