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Finding the Fourth Proportional to 5,764.83, 8,647.44 and 1,869.13

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Solution

The fourth proportional to 5,764.83, 8,647.44 and 1,869.13 is: 2,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.83 : 8,647.44 = 1,869.13 : x
  2. Step 2: Convert to fraction form
    5,764.83/8,647.44 = 1,869.13/x
  3. Step 3: Cross multiply
    5,764.83x = 8,647.44 × 1,869.13
  4. Step 4: Simplify right side
    5,764.83x = 16,163,189.53
  5. Step 5: Solve for x
    x = 16,163,189.53/5,764.83
  6. Step 6: Final answer
    x = 2,803.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.