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Finding the Fourth Proportional to 3,665.74, 5,058.70 and 1,987.19

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Solution

The fourth proportional to 3,665.74, 5,058.70 and 1,987.19 is: 2,742.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.74 : 5,058.70 = 1,987.19 : x
  2. Step 2: Convert to fraction form
    3,665.74/5,058.70 = 1,987.19/x
  3. Step 3: Cross multiply
    3,665.74x = 5,058.70 × 1,987.19
  4. Step 4: Simplify right side
    3,665.74x = 10,052,598.05
  5. Step 5: Solve for x
    x = 10,052,598.05/3,665.74
  6. Step 6: Final answer
    x = 2,742.31

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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.