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Finding the Fourth Proportional to 6,232.90, 8,598.69 and 4,105.70

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Solution

The fourth proportional to 6,232.90, 8,598.69 and 4,105.70 is: 5,664.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.90 : 8,598.69 = 4,105.70 : x
  2. Step 2: Convert to fraction form
    6,232.90/8,598.69 = 4,105.70/x
  3. Step 3: Cross multiply
    6,232.90x = 8,598.69 × 4,105.70
  4. Step 4: Simplify right side
    6,232.90x = 35,303,634.22
  5. Step 5: Solve for x
    x = 35,303,634.22/6,232.90
  6. Step 6: Final answer
    x = 5,664.08

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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.