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Finding the Fourth Proportional to 4,649.86, 6,416.58 and 2,660.41

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Solution

The fourth proportional to 4,649.86, 6,416.58 and 2,660.41 is: 3,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.86 : 6,416.58 = 2,660.41 : x
  2. Step 2: Convert to fraction form
    4,649.86/6,416.58 = 2,660.41/x
  3. Step 3: Cross multiply
    4,649.86x = 6,416.58 × 2,660.41
  4. Step 4: Simplify right side
    4,649.86x = 17,070,733.60
  5. Step 5: Solve for x
    x = 17,070,733.60/4,649.86
  6. Step 6: Final answer
    x = 3,671.24

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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.