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Finding the Fourth Proportional to 5,143.14, 7,701.03 and 3,502.89

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Solution

The fourth proportional to 5,143.14, 7,701.03 and 3,502.89 is: 5,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.14 : 7,701.03 = 3,502.89 : x
  2. Step 2: Convert to fraction form
    5,143.14/7,701.03 = 3,502.89/x
  3. Step 3: Cross multiply
    5,143.14x = 7,701.03 × 3,502.89
  4. Step 4: Simplify right side
    5,143.14x = 26,975,860.98
  5. Step 5: Solve for x
    x = 26,975,860.98/5,143.14
  6. Step 6: Final answer
    x = 5,245.02

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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.