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Finding the Fourth Proportional to 3,464.96, 5,189.07 and 2,426

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Solution

The fourth proportional to 3,464.96, 5,189.07 and 2,426 is: 3,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.96 : 5,189.07 = 2,426 : x
  2. Step 2: Convert to fraction form
    3,464.96/5,189.07 = 2,426/x
  3. Step 3: Cross multiply
    3,464.96x = 5,189.07 × 2,426
  4. Step 4: Simplify right side
    3,464.96x = 12,588,683.82
  5. Step 5: Solve for x
    x = 12,588,683.82/3,464.96
  6. Step 6: Final answer
    x = 3,633.14

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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.