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Finding the Fourth Proportional to 5,056.17, 7,587.96 and 2,869.17

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Solution

The fourth proportional to 5,056.17, 7,587.96 and 2,869.17 is: 4,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.17 : 7,587.96 = 2,869.17 : x
  2. Step 2: Convert to fraction form
    5,056.17/7,587.96 = 2,869.17/x
  3. Step 3: Cross multiply
    5,056.17x = 7,587.96 × 2,869.17
  4. Step 4: Simplify right side
    5,056.17x = 21,771,147.19
  5. Step 5: Solve for x
    x = 21,771,147.19/5,056.17
  6. Step 6: Final answer
    x = 4,305.86

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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.