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Finding the Fourth Proportional to 5,662.96, 7,815.21 and 3,539.81

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Solution

The fourth proportional to 5,662.96, 7,815.21 and 3,539.81 is: 4,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.96 : 7,815.21 = 3,539.81 : x
  2. Step 2: Convert to fraction form
    5,662.96/7,815.21 = 3,539.81/x
  3. Step 3: Cross multiply
    5,662.96x = 7,815.21 × 3,539.81
  4. Step 4: Simplify right side
    5,662.96x = 27,664,358.51
  5. Step 5: Solve for x
    x = 27,664,358.51/5,662.96
  6. Step 6: Final answer
    x = 4,885.15

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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.