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Finding the Fourth Proportional to 5,879.04, 8,820 and 3,283.68

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Solution

The fourth proportional to 5,879.04, 8,820 and 3,283.68 is: 4,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.04 : 8,820 = 3,283.68 : x
  2. Step 2: Convert to fraction form
    5,879.04/8,820 = 3,283.68/x
  3. Step 3: Cross multiply
    5,879.04x = 8,820 × 3,283.68
  4. Step 4: Simplify right side
    5,879.04x = 28,962,057.60
  5. Step 5: Solve for x
    x = 28,962,057.60/5,879.04
  6. Step 6: Final answer
    x = 4,926.32

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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.