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Finding the Fourth Proportional to 3,416.58, 5,123.16 and 2,186.46

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Solution

The fourth proportional to 3,416.58, 5,123.16 and 2,186.46 is: 3,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.58 : 5,123.16 = 2,186.46 : x
  2. Step 2: Convert to fraction form
    3,416.58/5,123.16 = 2,186.46/x
  3. Step 3: Cross multiply
    3,416.58x = 5,123.16 × 2,186.46
  4. Step 4: Simplify right side
    3,416.58x = 11,201,584.41
  5. Step 5: Solve for x
    x = 11,201,584.41/3,416.58
  6. Step 6: Final answer
    x = 3,278.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.