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Finding the Fourth Proportional to 4,649.06, 6,416.88 and 2,879.61

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Solution

The fourth proportional to 4,649.06, 6,416.88 and 2,879.61 is: 3,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.06 : 6,416.88 = 2,879.61 : x
  2. Step 2: Convert to fraction form
    4,649.06/6,416.88 = 2,879.61/x
  3. Step 3: Cross multiply
    4,649.06x = 6,416.88 × 2,879.61
  4. Step 4: Simplify right side
    4,649.06x = 18,478,111.82
  5. Step 5: Solve for x
    x = 18,478,111.82/4,649.06
  6. Step 6: Final answer
    x = 3,974.60

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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.