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Finding the Fourth Proportional to 3,617.25, 5,417.66 and 2,301

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Solution

The fourth proportional to 3,617.25, 5,417.66 and 2,301 is: 3,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.25 : 5,417.66 = 2,301 : x
  2. Step 2: Convert to fraction form
    3,617.25/5,417.66 = 2,301/x
  3. Step 3: Cross multiply
    3,617.25x = 5,417.66 × 2,301
  4. Step 4: Simplify right side
    3,617.25x = 12,466,035.66
  5. Step 5: Solve for x
    x = 12,466,035.66/3,617.25
  6. Step 6: Final answer
    x = 3,446.27

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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.