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Finding the Fourth Proportional to 4,694.39, 7,039.51 and 1,406.87

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Solution

The fourth proportional to 4,694.39, 7,039.51 and 1,406.87 is: 2,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.39 : 7,039.51 = 1,406.87 : x
  2. Step 2: Convert to fraction form
    4,694.39/7,039.51 = 1,406.87/x
  3. Step 3: Cross multiply
    4,694.39x = 7,039.51 × 1,406.87
  4. Step 4: Simplify right side
    4,694.39x = 9,903,675.43
  5. Step 5: Solve for x
    x = 9,903,675.43/4,694.39
  6. Step 6: Final answer
    x = 2,109.68

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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.