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Finding the Fourth Proportional to 6,598.29, 9,901.07 and 3,678.24

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Solution

The fourth proportional to 6,598.29, 9,901.07 and 3,678.24 is: 5,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.29 : 9,901.07 = 3,678.24 : x
  2. Step 2: Convert to fraction form
    6,598.29/9,901.07 = 3,678.24/x
  3. Step 3: Cross multiply
    6,598.29x = 9,901.07 × 3,678.24
  4. Step 4: Simplify right side
    6,598.29x = 36,418,511.72
  5. Step 5: Solve for x
    x = 36,418,511.72/6,598.29
  6. Step 6: Final answer
    x = 5,519.39

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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.