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Finding the Fourth Proportional to 4,135.64, 6,201.87 and 1,502.37

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Solution

The fourth proportional to 4,135.64, 6,201.87 and 1,502.37 is: 2,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.64 : 6,201.87 = 1,502.37 : x
  2. Step 2: Convert to fraction form
    4,135.64/6,201.87 = 1,502.37/x
  3. Step 3: Cross multiply
    4,135.64x = 6,201.87 × 1,502.37
  4. Step 4: Simplify right side
    4,135.64x = 9,317,503.43
  5. Step 5: Solve for x
    x = 9,317,503.43/4,135.64
  6. Step 6: Final answer
    x = 2,252.98

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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.