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Finding the Fourth Proportional to 3,126.71, 4,314.68 and 1,710.11

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Solution

The fourth proportional to 3,126.71, 4,314.68 and 1,710.11 is: 2,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.71 : 4,314.68 = 1,710.11 : x
  2. Step 2: Convert to fraction form
    3,126.71/4,314.68 = 1,710.11/x
  3. Step 3: Cross multiply
    3,126.71x = 4,314.68 × 1,710.11
  4. Step 4: Simplify right side
    3,126.71x = 7,378,579.65
  5. Step 5: Solve for x
    x = 7,378,579.65/3,126.71
  6. Step 6: Final answer
    x = 2,359.86

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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.