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Finding the Fourth Proportional to 4,327.74, 6,446.95 and 4,058.82

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Solution

The fourth proportional to 4,327.74, 6,446.95 and 4,058.82 is: 6,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.74 : 6,446.95 = 4,058.82 : x
  2. Step 2: Convert to fraction form
    4,327.74/6,446.95 = 4,058.82/x
  3. Step 3: Cross multiply
    4,327.74x = 6,446.95 × 4,058.82
  4. Step 4: Simplify right side
    4,327.74x = 26,166,999.45
  5. Step 5: Solve for x
    x = 26,166,999.45/4,327.74
  6. Step 6: Final answer
    x = 6,046.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.