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Finding the Fourth Proportional to 6,038.48, 9,057.72 and 3,986

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Solution

The fourth proportional to 6,038.48, 9,057.72 and 3,986 is: 5,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.48 : 9,057.72 = 3,986 : x
  2. Step 2: Convert to fraction form
    6,038.48/9,057.72 = 3,986/x
  3. Step 3: Cross multiply
    6,038.48x = 9,057.72 × 3,986
  4. Step 4: Simplify right side
    6,038.48x = 36,104,071.92
  5. Step 5: Solve for x
    x = 36,104,071.92/6,038.48
  6. Step 6: Final answer
    x = 5,979.00

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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.