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Finding the Fourth Proportional to 4,693.29, 7,039.94 and 1,406.39

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Solution

The fourth proportional to 4,693.29, 7,039.94 and 1,406.39 is: 2,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.29 : 7,039.94 = 1,406.39 : x
  2. Step 2: Convert to fraction form
    4,693.29/7,039.94 = 1,406.39/x
  3. Step 3: Cross multiply
    4,693.29x = 7,039.94 × 1,406.39
  4. Step 4: Simplify right side
    4,693.29x = 9,900,874.94
  5. Step 5: Solve for x
    x = 9,900,874.94/4,693.29
  6. Step 6: Final answer
    x = 2,109.58

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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.