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Finding the Fourth Proportional to 3,416.94, 5,124.33 and 1,772.37

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Solution

The fourth proportional to 3,416.94, 5,124.33 and 1,772.37 is: 2,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.94 : 5,124.33 = 1,772.37 : x
  2. Step 2: Convert to fraction form
    3,416.94/5,124.33 = 1,772.37/x
  3. Step 3: Cross multiply
    3,416.94x = 5,124.33 × 1,772.37
  4. Step 4: Simplify right side
    3,416.94x = 9,082,208.76
  5. Step 5: Solve for x
    x = 9,082,208.76/3,416.94
  6. Step 6: Final answer
    x = 2,657.99

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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.