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Finding the Fourth Proportional to 4,135.78, 6,202.95 and 1,502.74

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Solution

The fourth proportional to 4,135.78, 6,202.95 and 1,502.74 is: 2,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.78 : 6,202.95 = 1,502.74 : x
  2. Step 2: Convert to fraction form
    4,135.78/6,202.95 = 1,502.74/x
  3. Step 3: Cross multiply
    4,135.78x = 6,202.95 × 1,502.74
  4. Step 4: Simplify right side
    4,135.78x = 9,321,421.08
  5. Step 5: Solve for x
    x = 9,321,421.08/4,135.78
  6. Step 6: Final answer
    x = 2,253.85

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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.