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Finding the Fourth Proportional to 5,687.64, 8,533.14 and 2,916.26

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Solution

The fourth proportional to 5,687.64, 8,533.14 and 2,916.26 is: 4,375.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.64 : 8,533.14 = 2,916.26 : x
  2. Step 2: Convert to fraction form
    5,687.64/8,533.14 = 2,916.26/x
  3. Step 3: Cross multiply
    5,687.64x = 8,533.14 × 2,916.26
  4. Step 4: Simplify right side
    5,687.64x = 24,884,812.19
  5. Step 5: Solve for x
    x = 24,884,812.19/5,687.64
  6. Step 6: Final answer
    x = 4,375.24

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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.