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Finding the Fourth Proportional to 3,171.36, 4,758.84 and 1,710.48

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Solution

The fourth proportional to 3,171.36, 4,758.84 and 1,710.48 is: 2,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.36 : 4,758.84 = 1,710.48 : x
  2. Step 2: Convert to fraction form
    3,171.36/4,758.84 = 1,710.48/x
  3. Step 3: Cross multiply
    3,171.36x = 4,758.84 × 1,710.48
  4. Step 4: Simplify right side
    3,171.36x = 8,139,900.64
  5. Step 5: Solve for x
    x = 8,139,900.64/3,171.36
  6. Step 6: Final answer
    x = 2,566.69

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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.