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Finding the Fourth Proportional to 3,643.12, 5,027.28 and 1,987.12

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Solution

The fourth proportional to 3,643.12, 5,027.28 and 1,987.12 is: 2,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.12 : 5,027.28 = 1,987.12 : x
  2. Step 2: Convert to fraction form
    3,643.12/5,027.28 = 1,987.12/x
  3. Step 3: Cross multiply
    3,643.12x = 5,027.28 × 1,987.12
  4. Step 4: Simplify right side
    3,643.12x = 9,989,808.63
  5. Step 5: Solve for x
    x = 9,989,808.63/3,643.12
  6. Step 6: Final answer
    x = 2,742.10

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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.