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Finding the Fourth Proportional to 4,058.88, 6,089.16 and 1,286.28

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Solution

The fourth proportional to 4,058.88, 6,089.16 and 1,286.28 is: 1,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.88 : 6,089.16 = 1,286.28 : x
  2. Step 2: Convert to fraction form
    4,058.88/6,089.16 = 1,286.28/x
  3. Step 3: Cross multiply
    4,058.88x = 6,089.16 × 1,286.28
  4. Step 4: Simplify right side
    4,058.88x = 7,832,364.72
  5. Step 5: Solve for x
    x = 7,832,364.72/4,058.88
  6. Step 6: Final answer
    x = 1,929.69

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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.