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Finding the Fourth Proportional to 4,012.61, 6,002.51 and 3,637.17

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Solution

The fourth proportional to 4,012.61, 6,002.51 and 3,637.17 is: 5,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.61 : 6,002.51 = 3,637.17 : x
  2. Step 2: Convert to fraction form
    4,012.61/6,002.51 = 3,637.17/x
  3. Step 3: Cross multiply
    4,012.61x = 6,002.51 × 3,637.17
  4. Step 4: Simplify right side
    4,012.61x = 21,832,131.11
  5. Step 5: Solve for x
    x = 21,832,131.11/4,012.61
  6. Step 6: Final answer
    x = 5,440.89

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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.