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Finding the Fourth Proportional to 3,502.94, 5,252.55 and 1,037.42

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Solution

The fourth proportional to 3,502.94, 5,252.55 and 1,037.42 is: 1,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.94 : 5,252.55 = 1,037.42 : x
  2. Step 2: Convert to fraction form
    3,502.94/5,252.55 = 1,037.42/x
  3. Step 3: Cross multiply
    3,502.94x = 5,252.55 × 1,037.42
  4. Step 4: Simplify right side
    3,502.94x = 5,449,100.42
  5. Step 5: Solve for x
    x = 5,449,100.42/3,502.94
  6. Step 6: Final answer
    x = 1,555.58

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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.