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Finding the Fourth Proportional to 4,058.28, 6,087.42 and 1,461.42

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Solution

The fourth proportional to 4,058.28, 6,087.42 and 1,461.42 is: 2,192.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,058.28 : 6,087.42 = 1,461.42 : x
  2. Step 2: Convert to fraction form
    4,058.28/6,087.42 = 1,461.42/x
  3. Step 3: Cross multiply
    4,058.28x = 6,087.42 × 1,461.42
  4. Step 4: Simplify right side
    4,058.28x = 8,896,277.34
  5. Step 5: Solve for x
    x = 8,896,277.34/4,058.28
  6. Step 6: Final answer
    x = 2,192.13

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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.