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Finding the Fourth Proportional to 3,497.40, 5,239.17 and 2,106.63

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Solution

The fourth proportional to 3,497.40, 5,239.17 and 2,106.63 is: 3,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.40 : 5,239.17 = 2,106.63 : x
  2. Step 2: Convert to fraction form
    3,497.40/5,239.17 = 2,106.63/x
  3. Step 3: Cross multiply
    3,497.40x = 5,239.17 × 2,106.63
  4. Step 4: Simplify right side
    3,497.40x = 11,036,992.70
  5. Step 5: Solve for x
    x = 11,036,992.70/3,497.40
  6. Step 6: Final answer
    x = 3,155.77

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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.