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Finding the Fourth Proportional to 5,112.92, 7,664.52 and 2,341.46

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Solution

The fourth proportional to 5,112.92, 7,664.52 and 2,341.46 is: 3,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.92 : 7,664.52 = 2,341.46 : x
  2. Step 2: Convert to fraction form
    5,112.92/7,664.52 = 2,341.46/x
  3. Step 3: Cross multiply
    5,112.92x = 7,664.52 × 2,341.46
  4. Step 4: Simplify right side
    5,112.92x = 17,946,167.00
  5. Step 5: Solve for x
    x = 17,946,167.00/5,112.92
  6. Step 6: Final answer
    x = 3,509.96

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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.