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Finding the Fourth Proportional to 4,701.66, 7,049.79 and 3,143.45

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Solution

The fourth proportional to 4,701.66, 7,049.79 and 3,143.45 is: 4,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.66 : 7,049.79 = 3,143.45 : x
  2. Step 2: Convert to fraction form
    4,701.66/7,049.79 = 3,143.45/x
  3. Step 3: Cross multiply
    4,701.66x = 7,049.79 × 3,143.45
  4. Step 4: Simplify right side
    4,701.66x = 22,160,627.13
  5. Step 5: Solve for x
    x = 22,160,627.13/4,701.66
  6. Step 6: Final answer
    x = 4,713.36

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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.