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Finding the Fourth Proportional to 3,703.87, 5,557.34 and 1,622.80

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Solution

The fourth proportional to 3,703.87, 5,557.34 and 1,622.80 is: 2,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.87 : 5,557.34 = 1,622.80 : x
  2. Step 2: Convert to fraction form
    3,703.87/5,557.34 = 1,622.80/x
  3. Step 3: Cross multiply
    3,703.87x = 5,557.34 × 1,622.80
  4. Step 4: Simplify right side
    3,703.87x = 9,018,451.35
  5. Step 5: Solve for x
    x = 9,018,451.35/3,703.87
  6. Step 6: Final answer
    x = 2,434.87

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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.