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Finding the Fourth Proportional to 3,696.12, 5,530.14 and 2,053.98

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Solution

The fourth proportional to 3,696.12, 5,530.14 and 2,053.98 is: 3,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.12 : 5,530.14 = 2,053.98 : x
  2. Step 2: Convert to fraction form
    3,696.12/5,530.14 = 2,053.98/x
  3. Step 3: Cross multiply
    3,696.12x = 5,530.14 × 2,053.98
  4. Step 4: Simplify right side
    3,696.12x = 11,358,796.96
  5. Step 5: Solve for x
    x = 11,358,796.96/3,696.12
  6. Step 6: Final answer
    x = 3,073.17

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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.