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Finding the Fourth Proportional to 4,649.86, 6,416.04 and 2,660.23

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Solution

The fourth proportional to 4,649.86, 6,416.04 and 2,660.23 is: 3,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.86 : 6,416.04 = 2,660.23 : x
  2. Step 2: Convert to fraction form
    4,649.86/6,416.04 = 2,660.23/x
  3. Step 3: Cross multiply
    4,649.86x = 6,416.04 × 2,660.23
  4. Step 4: Simplify right side
    4,649.86x = 17,068,142.09
  5. Step 5: Solve for x
    x = 17,068,142.09/4,649.86
  6. Step 6: Final answer
    x = 3,670.68

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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.