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Finding the Fourth Proportional to 5,894.76, 8,844.06 and 2,817

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Solution

The fourth proportional to 5,894.76, 8,844.06 and 2,817 is: 4,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.76 : 8,844.06 = 2,817 : x
  2. Step 2: Convert to fraction form
    5,894.76/8,844.06 = 2,817/x
  3. Step 3: Cross multiply
    5,894.76x = 8,844.06 × 2,817
  4. Step 4: Simplify right side
    5,894.76x = 24,913,717.02
  5. Step 5: Solve for x
    x = 24,913,717.02/5,894.76
  6. Step 6: Final answer
    x = 4,226.42

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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.