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Finding the Fourth Proportional to 5,687.62, 8,533.18 and 2,916.26

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Solution

The fourth proportional to 5,687.62, 8,533.18 and 2,916.26 is: 4,375.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.62 : 8,533.18 = 2,916.26 : x
  2. Step 2: Convert to fraction form
    5,687.62/8,533.18 = 2,916.26/x
  3. Step 3: Cross multiply
    5,687.62x = 8,533.18 × 2,916.26
  4. Step 4: Simplify right side
    5,687.62x = 24,884,971.51
  5. Step 5: Solve for x
    x = 24,884,971.51/5,687.62
  6. Step 6: Final answer
    x = 4,375.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.