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Finding the Fourth Proportional to 5,145.73, 7,712.40 and 2,368.57

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Solution

The fourth proportional to 5,145.73, 7,712.40 and 2,368.57 is: 3,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.73 : 7,712.40 = 2,368.57 : x
  2. Step 2: Convert to fraction form
    5,145.73/7,712.40 = 2,368.57/x
  3. Step 3: Cross multiply
    5,145.73x = 7,712.40 × 2,368.57
  4. Step 4: Simplify right side
    5,145.73x = 18,267,359.27
  5. Step 5: Solve for x
    x = 18,267,359.27/5,145.73
  6. Step 6: Final answer
    x = 3,550.00

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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.