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Finding the Fourth Proportional to 4,694.09, 7,040.86 and 1,407.24

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Solution

The fourth proportional to 4,694.09, 7,040.86 and 1,407.24 is: 2,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.09 : 7,040.86 = 1,407.24 : x
  2. Step 2: Convert to fraction form
    4,694.09/7,040.86 = 1,407.24/x
  3. Step 3: Cross multiply
    4,694.09x = 7,040.86 × 1,407.24
  4. Step 4: Simplify right side
    4,694.09x = 9,908,176.31
  5. Step 5: Solve for x
    x = 9,908,176.31/4,694.09
  6. Step 6: Final answer
    x = 2,110.78

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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.