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Finding the Fourth Proportional to 5,143.94, 7,715.93 and 1,248.36

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Solution

The fourth proportional to 5,143.94, 7,715.93 and 1,248.36 is: 1,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.94 : 7,715.93 = 1,248.36 : x
  2. Step 2: Convert to fraction form
    5,143.94/7,715.93 = 1,248.36/x
  3. Step 3: Cross multiply
    5,143.94x = 7,715.93 × 1,248.36
  4. Step 4: Simplify right side
    5,143.94x = 9,632,258.37
  5. Step 5: Solve for x
    x = 9,632,258.37/5,143.94
  6. Step 6: Final answer
    x = 1,872.54

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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.