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Finding the Fourth Proportional to 5,987.40, 8,981.51 and 1,827.44

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Solution

The fourth proportional to 5,987.40, 8,981.51 and 1,827.44 is: 2,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.40 : 8,981.51 = 1,827.44 : x
  2. Step 2: Convert to fraction form
    5,987.40/8,981.51 = 1,827.44/x
  3. Step 3: Cross multiply
    5,987.40x = 8,981.51 × 1,827.44
  4. Step 4: Simplify right side
    5,987.40x = 16,413,116.59
  5. Step 5: Solve for x
    x = 16,413,116.59/5,987.40
  6. Step 6: Final answer
    x = 2,741.28

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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.