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Finding the Fourth Proportional to 6,584.86, 9,879.30 and 3,955.30

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Solution

The fourth proportional to 6,584.86, 9,879.30 and 3,955.30 is: 5,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.86 : 9,879.30 = 3,955.30 : x
  2. Step 2: Convert to fraction form
    6,584.86/9,879.30 = 3,955.30/x
  3. Step 3: Cross multiply
    6,584.86x = 9,879.30 × 3,955.30
  4. Step 4: Simplify right side
    6,584.86x = 39,075,595.29
  5. Step 5: Solve for x
    x = 39,075,595.29/6,584.86
  6. Step 6: Final answer
    x = 5,934.16

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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.