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Finding the Fourth Proportional to 5,141.77, 7,712.70 and 1,246.21

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Solution

The fourth proportional to 5,141.77, 7,712.70 and 1,246.21 is: 1,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.77 : 7,712.70 = 1,246.21 : x
  2. Step 2: Convert to fraction form
    5,141.77/7,712.70 = 1,246.21/x
  3. Step 3: Cross multiply
    5,141.77x = 7,712.70 × 1,246.21
  4. Step 4: Simplify right side
    5,141.77x = 9,611,643.87
  5. Step 5: Solve for x
    x = 9,611,643.87/5,141.77
  6. Step 6: Final answer
    x = 1,869.33

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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.