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Finding the Fourth Proportional to 5,776.85, 7,973.28 and 3,651.02

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Solution

The fourth proportional to 5,776.85, 7,973.28 and 3,651.02 is: 5,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.85 : 7,973.28 = 3,651.02 : x
  2. Step 2: Convert to fraction form
    5,776.85/7,973.28 = 3,651.02/x
  3. Step 3: Cross multiply
    5,776.85x = 7,973.28 × 3,651.02
  4. Step 4: Simplify right side
    5,776.85x = 29,110,624.68
  5. Step 5: Solve for x
    x = 29,110,624.68/5,776.85
  6. Step 6: Final answer
    x = 5,039.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.