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Finding the Fourth Proportional to 3,416.83, 5,125.01 and 1,076.67

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Solution

The fourth proportional to 3,416.83, 5,125.01 and 1,076.67 is: 1,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.83 : 5,125.01 = 1,076.67 : x
  2. Step 2: Convert to fraction form
    3,416.83/5,125.01 = 1,076.67/x
  3. Step 3: Cross multiply
    3,416.83x = 5,125.01 × 1,076.67
  4. Step 4: Simplify right side
    3,416.83x = 5,517,939.13
  5. Step 5: Solve for x
    x = 5,517,939.13/3,416.83
  6. Step 6: Final answer
    x = 1,614.93

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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.