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Finding the Fourth Proportional to 3,491.07, 5,238.12 and 1,737.81

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Solution

The fourth proportional to 3,491.07, 5,238.12 and 1,737.81 is: 2,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.07 : 5,238.12 = 1,737.81 : x
  2. Step 2: Convert to fraction form
    3,491.07/5,238.12 = 1,737.81/x
  3. Step 3: Cross multiply
    3,491.07x = 5,238.12 × 1,737.81
  4. Step 4: Simplify right side
    3,491.07x = 9,102,857.32
  5. Step 5: Solve for x
    x = 9,102,857.32/3,491.07
  6. Step 6: Final answer
    x = 2,607.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.