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Finding the Fourth Proportional to 6,058.96, 8,366.28 and 3,824.56

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Solution

The fourth proportional to 6,058.96, 8,366.28 and 3,824.56 is: 5,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.96 : 8,366.28 = 3,824.56 : x
  2. Step 2: Convert to fraction form
    6,058.96/8,366.28 = 3,824.56/x
  3. Step 3: Cross multiply
    6,058.96x = 8,366.28 × 3,824.56
  4. Step 4: Simplify right side
    6,058.96x = 31,997,339.84
  5. Step 5: Solve for x
    x = 31,997,339.84/6,058.96
  6. Step 6: Final answer
    x = 5,281.00

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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.