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Finding the Fourth Proportional to 3,089.66, 4,637.57 and 1,447.38

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Solution

The fourth proportional to 3,089.66, 4,637.57 and 1,447.38 is: 2,172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.66 : 4,637.57 = 1,447.38 : x
  2. Step 2: Convert to fraction form
    3,089.66/4,637.57 = 1,447.38/x
  3. Step 3: Cross multiply
    3,089.66x = 4,637.57 × 1,447.38
  4. Step 4: Simplify right side
    3,089.66x = 6,712,318.83
  5. Step 5: Solve for x
    x = 6,712,318.83/3,089.66
  6. Step 6: Final answer
    x = 2,172.51

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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.