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Finding the Fourth Proportional to 5,100.87, 7,644.13 and 4,056.23

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Solution

The fourth proportional to 5,100.87, 7,644.13 and 4,056.23 is: 6,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.87 : 7,644.13 = 4,056.23 : x
  2. Step 2: Convert to fraction form
    5,100.87/7,644.13 = 4,056.23/x
  3. Step 3: Cross multiply
    5,100.87x = 7,644.13 × 4,056.23
  4. Step 4: Simplify right side
    5,100.87x = 31,006,329.15
  5. Step 5: Solve for x
    x = 31,006,329.15/5,100.87
  6. Step 6: Final answer
    x = 6,078.64

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1.5x scale

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.