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Finding the Fourth Proportional to 5,764.29, 8,646.06 and 2,840.01

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Solution

The fourth proportional to 5,764.29, 8,646.06 and 2,840.01 is: 4,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.29 : 8,646.06 = 2,840.01 : x
  2. Step 2: Convert to fraction form
    5,764.29/8,646.06 = 2,840.01/x
  3. Step 3: Cross multiply
    5,764.29x = 8,646.06 × 2,840.01
  4. Step 4: Simplify right side
    5,764.29x = 24,554,896.86
  5. Step 5: Solve for x
    x = 24,554,896.86/5,764.29
  6. Step 6: Final answer
    x = 4,259.83

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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.