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Finding the Fourth Proportional to 5,889.24, 8,820.63 and 4,220.12

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Solution

The fourth proportional to 5,889.24, 8,820.63 and 4,220.12 is: 6,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.24 : 8,820.63 = 4,220.12 : x
  2. Step 2: Convert to fraction form
    5,889.24/8,820.63 = 4,220.12/x
  3. Step 3: Cross multiply
    5,889.24x = 8,820.63 × 4,220.12
  4. Step 4: Simplify right side
    5,889.24x = 37,224,139.13
  5. Step 5: Solve for x
    x = 37,224,139.13/5,889.24
  6. Step 6: Final answer
    x = 6,320.70

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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.