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Finding the Fourth Proportional to 4,700.20, 7,044.17 and 4,203.67

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Solution

The fourth proportional to 4,700.20, 7,044.17 and 4,203.67 is: 6,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.20 : 7,044.17 = 4,203.67 : x
  2. Step 2: Convert to fraction form
    4,700.20/7,044.17 = 4,203.67/x
  3. Step 3: Cross multiply
    4,700.20x = 7,044.17 × 4,203.67
  4. Step 4: Simplify right side
    4,700.20x = 29,611,366.10
  5. Step 5: Solve for x
    x = 29,611,366.10/4,700.20
  6. Step 6: Final answer
    x = 6,300.02

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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.