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Finding the Fourth Proportional to 4,141.12, 5,710.08 and 3,020.08

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Solution

The fourth proportional to 4,141.12, 5,710.08 and 3,020.08 is: 4,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.12 : 5,710.08 = 3,020.08 : x
  2. Step 2: Convert to fraction form
    4,141.12/5,710.08 = 3,020.08/x
  3. Step 3: Cross multiply
    4,141.12x = 5,710.08 × 3,020.08
  4. Step 4: Simplify right side
    4,141.12x = 17,244,898.41
  5. Step 5: Solve for x
    x = 17,244,898.41/4,141.12
  6. Step 6: Final answer
    x = 4,164.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.