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Finding the Fourth Proportional to 5,875.75, 8,108.14 and 3,222.63

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Solution

The fourth proportional to 5,875.75, 8,108.14 and 3,222.63 is: 4,447.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.75 : 8,108.14 = 3,222.63 : x
  2. Step 2: Convert to fraction form
    5,875.75/8,108.14 = 3,222.63/x
  3. Step 3: Cross multiply
    5,875.75x = 8,108.14 × 3,222.63
  4. Step 4: Simplify right side
    5,875.75x = 26,129,535.21
  5. Step 5: Solve for x
    x = 26,129,535.21/5,875.75
  6. Step 6: Final answer
    x = 4,447.01

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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.