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Finding the Fourth Proportional to 3,643.96, 5,026.92 and 2,465.44

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Solution

The fourth proportional to 3,643.96, 5,026.92 and 2,465.44 is: 3,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.96 : 5,026.92 = 2,465.44 : x
  2. Step 2: Convert to fraction form
    3,643.96/5,026.92 = 2,465.44/x
  3. Step 3: Cross multiply
    3,643.96x = 5,026.92 × 2,465.44
  4. Step 4: Simplify right side
    3,643.96x = 12,393,569.64
  5. Step 5: Solve for x
    x = 12,393,569.64/3,643.96
  6. Step 6: Final answer
    x = 3,401.13

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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.