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Finding the Fourth Proportional to 4,295.06, 6,442.53 and 1,217.06

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Solution

The fourth proportional to 4,295.06, 6,442.53 and 1,217.06 is: 1,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.06 : 6,442.53 = 1,217.06 : x
  2. Step 2: Convert to fraction form
    4,295.06/6,442.53 = 1,217.06/x
  3. Step 3: Cross multiply
    4,295.06x = 6,442.53 × 1,217.06
  4. Step 4: Simplify right side
    4,295.06x = 7,840,945.56
  5. Step 5: Solve for x
    x = 7,840,945.56/4,295.06
  6. Step 6: Final answer
    x = 1,825.57

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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.