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Finding the Fourth Proportional to 3,100.04, 4,650.78 and 1,713.05

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Solution

The fourth proportional to 3,100.04, 4,650.78 and 1,713.05 is: 2,569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.04 : 4,650.78 = 1,713.05 : x
  2. Step 2: Convert to fraction form
    3,100.04/4,650.78 = 1,713.05/x
  3. Step 3: Cross multiply
    3,100.04x = 4,650.78 × 1,713.05
  4. Step 4: Simplify right side
    3,100.04x = 7,966,995.43
  5. Step 5: Solve for x
    x = 7,966,995.43/3,100.04
  6. Step 6: Final answer
    x = 2,569.97

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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.