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Finding the Fourth Proportional to 4,496.61, 6,205.35 and 2,609.32

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Solution

The fourth proportional to 4,496.61, 6,205.35 and 2,609.32 is: 3,600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.61 : 6,205.35 = 2,609.32 : x
  2. Step 2: Convert to fraction form
    4,496.61/6,205.35 = 2,609.32/x
  3. Step 3: Cross multiply
    4,496.61x = 6,205.35 × 2,609.32
  4. Step 4: Simplify right side
    4,496.61x = 16,191,743.86
  5. Step 5: Solve for x
    x = 16,191,743.86/4,496.61
  6. Step 6: Final answer
    x = 3,600.88

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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.