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Finding the Fourth Proportional to 3,365.08, 5,046.90 and 1,416.76

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Solution

The fourth proportional to 3,365.08, 5,046.90 and 1,416.76 is: 2,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.08 : 5,046.90 = 1,416.76 : x
  2. Step 2: Convert to fraction form
    3,365.08/5,046.90 = 1,416.76/x
  3. Step 3: Cross multiply
    3,365.08x = 5,046.90 × 1,416.76
  4. Step 4: Simplify right side
    3,365.08x = 7,150,246.04
  5. Step 5: Solve for x
    x = 7,150,246.04/3,365.08
  6. Step 6: Final answer
    x = 2,124.84

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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.