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Finding the Fourth Proportional to 4,709.32, 6,498.90 and 2,613.48

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Solution

The fourth proportional to 4,709.32, 6,498.90 and 2,613.48 is: 3,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.32 : 6,498.90 = 2,613.48 : x
  2. Step 2: Convert to fraction form
    4,709.32/6,498.90 = 2,613.48/x
  3. Step 3: Cross multiply
    4,709.32x = 6,498.90 × 2,613.48
  4. Step 4: Simplify right side
    4,709.32x = 16,984,745.17
  5. Step 5: Solve for x
    x = 16,984,745.17/4,709.32
  6. Step 6: Final answer
    x = 3,606.62

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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.