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Finding the Fourth Proportional to 3,686.25, 5,529.38 and 950.25

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Solution

The fourth proportional to 3,686.25, 5,529.38 and 950.25 is: 1,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.25 : 5,529.38 = 950.25 : x
  2. Step 2: Convert to fraction form
    3,686.25/5,529.38 = 950.25/x
  3. Step 3: Cross multiply
    3,686.25x = 5,529.38 × 950.25
  4. Step 4: Simplify right side
    3,686.25x = 5,254,288.59
  5. Step 5: Solve for x
    x = 5,254,288.59/3,686.25
  6. Step 6: Final answer
    x = 1,425.38

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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.