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Finding the Fourth Proportional to 3,073.52, 4,263.14 and 2,968.64

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Solution

The fourth proportional to 3,073.52, 4,263.14 and 2,968.64 is: 4,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.52 : 4,263.14 = 2,968.64 : x
  2. Step 2: Convert to fraction form
    3,073.52/4,263.14 = 2,968.64/x
  3. Step 3: Cross multiply
    3,073.52x = 4,263.14 × 2,968.64
  4. Step 4: Simplify right side
    3,073.52x = 12,655,727.93
  5. Step 5: Solve for x
    x = 12,655,727.93/3,073.52
  6. Step 6: Final answer
    x = 4,117.67

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.