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Finding the Fourth Proportional to 4,646.85, 6,408.90 and 4,086.15

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Solution

The fourth proportional to 4,646.85, 6,408.90 and 4,086.15 is: 5,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.85 : 6,408.90 = 4,086.15 : x
  2. Step 2: Convert to fraction form
    4,646.85/6,408.90 = 4,086.15/x
  3. Step 3: Cross multiply
    4,646.85x = 6,408.90 × 4,086.15
  4. Step 4: Simplify right side
    4,646.85x = 26,187,726.74
  5. Step 5: Solve for x
    x = 26,187,726.74/4,646.85
  6. Step 6: Final answer
    x = 5,635.59

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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.