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Finding the Fourth Proportional to 5,682.12, 8,525.66 and 1,987.00

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Solution

The fourth proportional to 5,682.12, 8,525.66 and 1,987.00 is: 2,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.12 : 8,525.66 = 1,987.00 : x
  2. Step 2: Convert to fraction form
    5,682.12/8,525.66 = 1,987.00/x
  3. Step 3: Cross multiply
    5,682.12x = 8,525.66 × 1,987.00
  4. Step 4: Simplify right side
    5,682.12x = 16,940,455.17
  5. Step 5: Solve for x
    x = 16,940,455.17/5,682.12
  6. Step 6: Final answer
    x = 2,981.36

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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.