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Finding the Fourth Proportional to 5,772.94, 8,660.86 and 1,877.38

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Solution

The fourth proportional to 5,772.94, 8,660.86 and 1,877.38 is: 2,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.94 : 8,660.86 = 1,877.38 : x
  2. Step 2: Convert to fraction form
    5,772.94/8,660.86 = 1,877.38/x
  3. Step 3: Cross multiply
    5,772.94x = 8,660.86 × 1,877.38
  4. Step 4: Simplify right side
    5,772.94x = 16,259,699.00
  5. Step 5: Solve for x
    x = 16,259,699.00/5,772.94
  6. Step 6: Final answer
    x = 2,816.54

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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.