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Finding the Fourth Proportional to 3,666.41, 5,058.32 and 2,408.15

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Solution

The fourth proportional to 3,666.41, 5,058.32 and 2,408.15 is: 3,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.41 : 5,058.32 = 2,408.15 : x
  2. Step 2: Convert to fraction form
    3,666.41/5,058.32 = 2,408.15/x
  3. Step 3: Cross multiply
    3,666.41x = 5,058.32 × 2,408.15
  4. Step 4: Simplify right side
    3,666.41x = 12,181,155.98
  5. Step 5: Solve for x
    x = 12,181,155.98/3,666.41
  6. Step 6: Final answer
    x = 3,322.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.