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Finding the Fourth Proportional to 4,707.64, 6,496.65 and 2,611.90

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Solution

The fourth proportional to 4,707.64, 6,496.65 and 2,611.90 is: 3,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.64 : 6,496.65 = 2,611.90 : x
  2. Step 2: Convert to fraction form
    4,707.64/6,496.65 = 2,611.90/x
  3. Step 3: Cross multiply
    4,707.64x = 6,496.65 × 2,611.90
  4. Step 4: Simplify right side
    4,707.64x = 16,968,600.14
  5. Step 5: Solve for x
    x = 16,968,600.14/4,707.64
  6. Step 6: Final answer
    x = 3,604.48

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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.