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Finding the Fourth Proportional to 4,473.87, 6,710.95 and 2,134.13

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Solution

The fourth proportional to 4,473.87, 6,710.95 and 2,134.13 is: 3,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.87 : 6,710.95 = 2,134.13 : x
  2. Step 2: Convert to fraction form
    4,473.87/6,710.95 = 2,134.13/x
  3. Step 3: Cross multiply
    4,473.87x = 6,710.95 × 2,134.13
  4. Step 4: Simplify right side
    4,473.87x = 14,322,059.17
  5. Step 5: Solve for x
    x = 14,322,059.17/4,473.87
  6. Step 6: Final answer
    x = 3,201.27

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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.