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Finding the Fourth Proportional to 6,853.83, 9,458.31 and 3,710.01

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Solution

The fourth proportional to 6,853.83, 9,458.31 and 3,710.01 is: 5,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.83 : 9,458.31 = 3,710.01 : x
  2. Step 2: Convert to fraction form
    6,853.83/9,458.31 = 3,710.01/x
  3. Step 3: Cross multiply
    6,853.83x = 9,458.31 × 3,710.01
  4. Step 4: Simplify right side
    6,853.83x = 35,090,424.68
  5. Step 5: Solve for x
    x = 35,090,424.68/6,853.83
  6. Step 6: Final answer
    x = 5,119.83

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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.