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Finding the Fourth Proportional to 4,709.98, 6,500.64 and 3,031.12

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Solution

The fourth proportional to 4,709.98, 6,500.64 and 3,031.12 is: 4,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.98 : 6,500.64 = 3,031.12 : x
  2. Step 2: Convert to fraction form
    4,709.98/6,500.64 = 3,031.12/x
  3. Step 3: Cross multiply
    4,709.98x = 6,500.64 × 3,031.12
  4. Step 4: Simplify right side
    4,709.98x = 19,704,219.92
  5. Step 5: Solve for x
    x = 19,704,219.92/4,709.98
  6. Step 6: Final answer
    x = 4,183.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.