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Finding the Fourth Proportional to 5,687.64, 7,845.93 and 3,916.17

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Solution

The fourth proportional to 5,687.64, 7,845.93 and 3,916.17 is: 5,402.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.64 : 7,845.93 = 3,916.17 : x
  2. Step 2: Convert to fraction form
    5,687.64/7,845.93 = 3,916.17/x
  3. Step 3: Cross multiply
    5,687.64x = 7,845.93 × 3,916.17
  4. Step 4: Simplify right side
    5,687.64x = 30,725,995.69
  5. Step 5: Solve for x
    x = 30,725,995.69/5,687.64
  6. Step 6: Final answer
    x = 5,402.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.