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Finding the Fourth Proportional to 3,637.63, 5,018.11 and 2,641.33

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Solution

The fourth proportional to 3,637.63, 5,018.11 and 2,641.33 is: 3,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.63 : 5,018.11 = 2,641.33 : x
  2. Step 2: Convert to fraction form
    3,637.63/5,018.11 = 2,641.33/x
  3. Step 3: Cross multiply
    3,637.63x = 5,018.11 × 2,641.33
  4. Step 4: Simplify right side
    3,637.63x = 13,254,484.49
  5. Step 5: Solve for x
    x = 13,254,484.49/3,637.63
  6. Step 6: Final answer
    x = 3,643.71

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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.