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Finding the Fourth Proportional to 5,584.14, 8,356.77 and 4,715.82

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Solution

The fourth proportional to 5,584.14, 8,356.77 and 4,715.82 is: 7,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.14 : 8,356.77 = 4,715.82 : x
  2. Step 2: Convert to fraction form
    5,584.14/8,356.77 = 4,715.82/x
  3. Step 3: Cross multiply
    5,584.14x = 8,356.77 × 4,715.82
  4. Step 4: Simplify right side
    5,584.14x = 39,409,023.10
  5. Step 5: Solve for x
    x = 39,409,023.10/5,584.14
  6. Step 6: Final answer
    x = 7,057.31

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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.