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Finding the Fourth Proportional to 4,135.74, 5,690.65 and 4,037.33

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Solution

The fourth proportional to 4,135.74, 5,690.65 and 4,037.33 is: 5,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.74 : 5,690.65 = 4,037.33 : x
  2. Step 2: Convert to fraction form
    4,135.74/5,690.65 = 4,037.33/x
  3. Step 3: Cross multiply
    4,135.74x = 5,690.65 × 4,037.33
  4. Step 4: Simplify right side
    4,135.74x = 22,974,993.42
  5. Step 5: Solve for x
    x = 22,974,993.42/4,135.74
  6. Step 6: Final answer
    x = 5,555.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.