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Finding the Fourth Proportional to 4,140.94, 6,211.41 and 1,062.94

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Solution

The fourth proportional to 4,140.94, 6,211.41 and 1,062.94 is: 1,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.94 : 6,211.41 = 1,062.94 : x
  2. Step 2: Convert to fraction form
    4,140.94/6,211.41 = 1,062.94/x
  3. Step 3: Cross multiply
    4,140.94x = 6,211.41 × 1,062.94
  4. Step 4: Simplify right side
    4,140.94x = 6,602,356.15
  5. Step 5: Solve for x
    x = 6,602,356.15/4,140.94
  6. Step 6: Final answer
    x = 1,594.41

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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.