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Finding the Fourth Proportional to 6,038.85, 9,058.28 and 3,122.85

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Solution

The fourth proportional to 6,038.85, 9,058.28 and 3,122.85 is: 4,684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.85 : 9,058.28 = 3,122.85 : x
  2. Step 2: Convert to fraction form
    6,038.85/9,058.28 = 3,122.85/x
  3. Step 3: Cross multiply
    6,038.85x = 9,058.28 × 3,122.85
  4. Step 4: Simplify right side
    6,038.85x = 28,287,634.08
  5. Step 5: Solve for x
    x = 28,287,634.08/6,038.85
  6. Step 6: Final answer
    x = 4,684.28

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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.