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Finding the Fourth Proportional to 3,666.84, 5,058.91 and 2,408.57

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Solution

The fourth proportional to 3,666.84, 5,058.91 and 2,408.57 is: 3,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.84 : 5,058.91 = 2,408.57 : x
  2. Step 2: Convert to fraction form
    3,666.84/5,058.91 = 2,408.57/x
  3. Step 3: Cross multiply
    3,666.84x = 5,058.91 × 2,408.57
  4. Step 4: Simplify right side
    3,666.84x = 12,184,738.86
  5. Step 5: Solve for x
    x = 12,184,738.86/3,666.84
  6. Step 6: Final answer
    x = 3,322.95

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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.