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Finding the Fourth Proportional to 4,216.59, 5,776.65 and 4,058.84

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Solution

The fourth proportional to 4,216.59, 5,776.65 and 4,058.84 is: 5,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.59 : 5,776.65 = 4,058.84 : x
  2. Step 2: Convert to fraction form
    4,216.59/5,776.65 = 4,058.84/x
  3. Step 3: Cross multiply
    4,216.59x = 5,776.65 × 4,058.84
  4. Step 4: Simplify right side
    4,216.59x = 23,446,469.20
  5. Step 5: Solve for x
    x = 23,446,469.20/4,216.59
  6. Step 6: Final answer
    x = 5,560.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.