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Finding the Fourth Proportional to 3,705.96, 5,557.80 and 1,950.01

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Solution

The fourth proportional to 3,705.96, 5,557.80 and 1,950.01 is: 2,924.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.96 : 5,557.80 = 1,950.01 : x
  2. Step 2: Convert to fraction form
    3,705.96/5,557.80 = 1,950.01/x
  3. Step 3: Cross multiply
    3,705.96x = 5,557.80 × 1,950.01
  4. Step 4: Simplify right side
    3,705.96x = 10,837,758.17
  5. Step 5: Solve for x
    x = 10,837,758.17/3,705.96
  6. Step 6: Final answer
    x = 2,924.41

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Why These Related Problems?

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