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Finding the Fourth Proportional to 3,666.14, 5,059.13 and 1,987.51

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Solution

The fourth proportional to 3,666.14, 5,059.13 and 1,987.51 is: 2,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.14 : 5,059.13 = 1,987.51 : x
  2. Step 2: Convert to fraction form
    3,666.14/5,059.13 = 1,987.51/x
  3. Step 3: Cross multiply
    3,666.14x = 5,059.13 × 1,987.51
  4. Step 4: Simplify right side
    3,666.14x = 10,055,089.37
  5. Step 5: Solve for x
    x = 10,055,089.37/3,666.14
  6. Step 6: Final answer
    x = 2,742.69

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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.