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Finding the Fourth Proportional to 4,134.95, 6,202.52 and 1,056.95

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Solution

The fourth proportional to 4,134.95, 6,202.52 and 1,056.95 is: 1,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.95 : 6,202.52 = 1,056.95 : x
  2. Step 2: Convert to fraction form
    4,134.95/6,202.52 = 1,056.95/x
  3. Step 3: Cross multiply
    4,134.95x = 6,202.52 × 1,056.95
  4. Step 4: Simplify right side
    4,134.95x = 6,555,717.22
  5. Step 5: Solve for x
    x = 6,555,717.22/4,134.95
  6. Step 6: Final answer
    x = 1,585.44

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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.