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Finding the Fourth Proportional to 3,107.64, 4,288.11 and 1,710.42

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Solution

The fourth proportional to 3,107.64, 4,288.11 and 1,710.42 is: 2,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.64 : 4,288.11 = 1,710.42 : x
  2. Step 2: Convert to fraction form
    3,107.64/4,288.11 = 1,710.42/x
  3. Step 3: Cross multiply
    3,107.64x = 4,288.11 × 1,710.42
  4. Step 4: Simplify right side
    3,107.64x = 7,334,469.11
  5. Step 5: Solve for x
    x = 7,334,469.11/3,107.64
  6. Step 6: Final answer
    x = 2,360.14

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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.