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Finding the Fourth Proportional to 5,875.93, 8,109.29 and 3,223.86

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Solution

The fourth proportional to 5,875.93, 8,109.29 and 3,223.86 is: 4,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.93 : 8,109.29 = 3,223.86 : x
  2. Step 2: Convert to fraction form
    5,875.93/8,109.29 = 3,223.86/x
  3. Step 3: Cross multiply
    5,875.93x = 8,109.29 × 3,223.86
  4. Step 4: Simplify right side
    5,875.93x = 26,143,215.66
  5. Step 5: Solve for x
    x = 26,143,215.66/5,875.93
  6. Step 6: Final answer
    x = 4,449.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.