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Finding the Fourth Proportional to 5,720.64, 7,895.33 and 3,483.83

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Solution

The fourth proportional to 5,720.64, 7,895.33 and 3,483.83 is: 4,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.64 : 7,895.33 = 3,483.83 : x
  2. Step 2: Convert to fraction form
    5,720.64/7,895.33 = 3,483.83/x
  3. Step 3: Cross multiply
    5,720.64x = 7,895.33 × 3,483.83
  4. Step 4: Simplify right side
    5,720.64x = 27,505,930.62
  5. Step 5: Solve for x
    x = 27,505,930.62/5,720.64
  6. Step 6: Final answer
    x = 4,808.19

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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.