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Finding the Fourth Proportional to 4,649.60, 6,416.28 and 2,660.11

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Solution

The fourth proportional to 4,649.60, 6,416.28 and 2,660.11 is: 3,670.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.60 : 6,416.28 = 2,660.11 : x
  2. Step 2: Convert to fraction form
    4,649.60/6,416.28 = 2,660.11/x
  3. Step 3: Cross multiply
    4,649.60x = 6,416.28 × 2,660.11
  4. Step 4: Simplify right side
    4,649.60x = 17,068,013.70
  5. Step 5: Solve for x
    x = 17,068,013.70/4,649.60
  6. Step 6: Final answer
    x = 3,670.86

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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.