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Finding the Fourth Proportional to 6,298.85, 9,449.42 and 2,599.07

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Solution

The fourth proportional to 6,298.85, 9,449.42 and 2,599.07 is: 3,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.85 : 9,449.42 = 2,599.07 : x
  2. Step 2: Convert to fraction form
    6,298.85/9,449.42 = 2,599.07/x
  3. Step 3: Cross multiply
    6,298.85x = 9,449.42 × 2,599.07
  4. Step 4: Simplify right side
    6,298.85x = 24,559,663.29
  5. Step 5: Solve for x
    x = 24,559,663.29/6,298.85
  6. Step 6: Final answer
    x = 3,899.07

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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.