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Finding the Fourth Proportional to 5,789, 8,683.90 and 2,866.52

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Solution

The fourth proportional to 5,789, 8,683.90 and 2,866.52 is: 4,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789 : 8,683.90 = 2,866.52 : x
  2. Step 2: Convert to fraction form
    5,789/8,683.90 = 2,866.52/x
  3. Step 3: Cross multiply
    5,789x = 8,683.90 × 2,866.52
  4. Step 4: Simplify right side
    5,789x = 24,892,573.03
  5. Step 5: Solve for x
    x = 24,892,573.03/5,789
  6. Step 6: Final answer
    x = 4,299.98

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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.