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Finding the Fourth Proportional to 3,980.28, 5,970.41 and 1,058.58

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Solution

The fourth proportional to 3,980.28, 5,970.41 and 1,058.58 is: 1,587.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.28 : 5,970.41 = 1,058.58 : x
  2. Step 2: Convert to fraction form
    3,980.28/5,970.41 = 1,058.58/x
  3. Step 3: Cross multiply
    3,980.28x = 5,970.41 × 1,058.58
  4. Step 4: Simplify right side
    3,980.28x = 6,320,166.25
  5. Step 5: Solve for x
    x = 6,320,166.25/3,980.28
  6. Step 6: Final answer
    x = 1,587.87

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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.