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Finding the Fourth Proportional to 4,350.56, 6,526.62 and 2,042

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Solution

The fourth proportional to 4,350.56, 6,526.62 and 2,042 is: 3,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,350.56 : 6,526.62 = 2,042 : x
  2. Step 2: Convert to fraction form
    4,350.56/6,526.62 = 2,042/x
  3. Step 3: Cross multiply
    4,350.56x = 6,526.62 × 2,042
  4. Step 4: Simplify right side
    4,350.56x = 13,327,358.04
  5. Step 5: Solve for x
    x = 13,327,358.04/4,350.56
  6. Step 6: Final answer
    x = 3,063.37

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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.