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Finding the Fourth Proportional to 4,038.53, 6,058.13 and 1,116.82

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Solution

The fourth proportional to 4,038.53, 6,058.13 and 1,116.82 is: 1,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.53 : 6,058.13 = 1,116.82 : x
  2. Step 2: Convert to fraction form
    4,038.53/6,058.13 = 1,116.82/x
  3. Step 3: Cross multiply
    4,038.53x = 6,058.13 × 1,116.82
  4. Step 4: Simplify right side
    4,038.53x = 6,765,842.74
  5. Step 5: Solve for x
    x = 6,765,842.74/4,038.53
  6. Step 6: Final answer
    x = 1,675.33

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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.