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Finding the Fourth Proportional to 3,615.42, 5,420.70 and 2,231.40

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Solution

The fourth proportional to 3,615.42, 5,420.70 and 2,231.40 is: 3,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.42 : 5,420.70 = 2,231.40 : x
  2. Step 2: Convert to fraction form
    3,615.42/5,420.70 = 2,231.40/x
  3. Step 3: Cross multiply
    3,615.42x = 5,420.70 × 2,231.40
  4. Step 4: Simplify right side
    3,615.42x = 12,095,749.98
  5. Step 5: Solve for x
    x = 12,095,749.98/3,615.42
  6. Step 6: Final answer
    x = 3,345.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.