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Finding the Fourth Proportional to 6,033.96, 9,058.23 and 3,686.58

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Solution

The fourth proportional to 6,033.96, 9,058.23 and 3,686.58 is: 5,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.96 : 9,058.23 = 3,686.58 : x
  2. Step 2: Convert to fraction form
    6,033.96/9,058.23 = 3,686.58/x
  3. Step 3: Cross multiply
    6,033.96x = 9,058.23 × 3,686.58
  4. Step 4: Simplify right side
    6,033.96x = 33,393,889.55
  5. Step 5: Solve for x
    x = 33,393,889.55/6,033.96
  6. Step 6: Final answer
    x = 5,534.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.