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Finding the Fourth Proportional to 5,606.42, 7,738.81 and 3,483.61

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Solution

The fourth proportional to 5,606.42, 7,738.81 and 3,483.61 is: 4,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.42 : 7,738.81 = 3,483.61 : x
  2. Step 2: Convert to fraction form
    5,606.42/7,738.81 = 3,483.61/x
  3. Step 3: Cross multiply
    5,606.42x = 7,738.81 × 3,483.61
  4. Step 4: Simplify right side
    5,606.42x = 26,958,967.85
  5. Step 5: Solve for x
    x = 26,958,967.85/5,606.42
  6. Step 6: Final answer
    x = 4,808.59

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