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Finding the Fourth Proportional to 5,056.97, 7,579.97 and 2,588.40

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Solution

The fourth proportional to 5,056.97, 7,579.97 and 2,588.40 is: 3,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.97 : 7,579.97 = 2,588.40 : x
  2. Step 2: Convert to fraction form
    5,056.97/7,579.97 = 2,588.40/x
  3. Step 3: Cross multiply
    5,056.97x = 7,579.97 × 2,588.40
  4. Step 4: Simplify right side
    5,056.97x = 19,620,019.77
  5. Step 5: Solve for x
    x = 19,620,019.77/5,056.97
  6. Step 6: Final answer
    x = 3,879.80

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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.