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Finding the Fourth Proportional to 6,232.05, 8,598.11 and 3,543

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Solution

The fourth proportional to 6,232.05, 8,598.11 and 3,543 is: 4,888.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.05 : 8,598.11 = 3,543 : x
  2. Step 2: Convert to fraction form
    6,232.05/8,598.11 = 3,543/x
  3. Step 3: Cross multiply
    6,232.05x = 8,598.11 × 3,543
  4. Step 4: Simplify right side
    6,232.05x = 30,463,086.02
  5. Step 5: Solve for x
    x = 30,463,086.02/6,232.05
  6. Step 6: Final answer
    x = 4,888.13

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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.