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Finding the Fourth Proportional to 5,741.84, 8,612.28 and 1,793

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Solution

The fourth proportional to 5,741.84, 8,612.28 and 1,793 is: 2,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.84 : 8,612.28 = 1,793 : x
  2. Step 2: Convert to fraction form
    5,741.84/8,612.28 = 1,793/x
  3. Step 3: Cross multiply
    5,741.84x = 8,612.28 × 1,793
  4. Step 4: Simplify right side
    5,741.84x = 15,441,818.04
  5. Step 5: Solve for x
    x = 15,441,818.04/5,741.84
  6. Step 6: Final answer
    x = 2,689.35

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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.