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Finding the Fourth Proportional to 5,141.78, 7,712.64 and 1,246.19

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Solution

The fourth proportional to 5,141.78, 7,712.64 and 1,246.19 is: 1,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.78 : 7,712.64 = 1,246.19 : x
  2. Step 2: Convert to fraction form
    5,141.78/7,712.64 = 1,246.19/x
  3. Step 3: Cross multiply
    5,141.78x = 7,712.64 × 1,246.19
  4. Step 4: Simplify right side
    5,141.78x = 9,611,434.12
  5. Step 5: Solve for x
    x = 9,611,434.12/5,141.78
  6. Step 6: Final answer
    x = 1,869.28

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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.