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Finding the Fourth Proportional to 3,686.99, 5,088.09 and 2,093.58

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Solution

The fourth proportional to 3,686.99, 5,088.09 and 2,093.58 is: 2,889.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.99 : 5,088.09 = 2,093.58 : x
  2. Step 2: Convert to fraction form
    3,686.99/5,088.09 = 2,093.58/x
  3. Step 3: Cross multiply
    3,686.99x = 5,088.09 × 2,093.58
  4. Step 4: Simplify right side
    3,686.99x = 10,652,323.46
  5. Step 5: Solve for x
    x = 10,652,323.46/3,686.99
  6. Step 6: Final answer
    x = 2,889.17

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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.