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Finding the Fourth Proportional to 6,058.95, 9,092.06 and 2,596.20

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Solution

The fourth proportional to 6,058.95, 9,092.06 and 2,596.20 is: 3,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.95 : 9,092.06 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    6,058.95/9,092.06 = 2,596.20/x
  3. Step 3: Cross multiply
    6,058.95x = 9,092.06 × 2,596.20
  4. Step 4: Simplify right side
    6,058.95x = 23,604,806.17
  5. Step 5: Solve for x
    x = 23,604,806.17/6,058.95
  6. Step 6: Final answer
    x = 3,895.86

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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.