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Finding the Fourth Proportional to 6,058.63, 9,087.94 and 1,616.31

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Solution

The fourth proportional to 6,058.63, 9,087.94 and 1,616.31 is: 2,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.63 : 9,087.94 = 1,616.31 : x
  2. Step 2: Convert to fraction form
    6,058.63/9,087.94 = 1,616.31/x
  3. Step 3: Cross multiply
    6,058.63x = 9,087.94 × 1,616.31
  4. Step 4: Simplify right side
    6,058.63x = 14,688,882.86
  5. Step 5: Solve for x
    x = 14,688,882.86/6,058.63
  6. Step 6: Final answer
    x = 2,424.46

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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.