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Finding the Fourth Proportional to 3,699.68, 5,106.24 and 2,127.92

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Solution

The fourth proportional to 3,699.68, 5,106.24 and 2,127.92 is: 2,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.68 : 5,106.24 = 2,127.92 : x
  2. Step 2: Convert to fraction form
    3,699.68/5,106.24 = 2,127.92/x
  3. Step 3: Cross multiply
    3,699.68x = 5,106.24 × 2,127.92
  4. Step 4: Simplify right side
    3,699.68x = 10,865,670.22
  5. Step 5: Solve for x
    x = 10,865,670.22/3,699.68
  6. Step 6: Final answer
    x = 2,936.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.