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Finding the Fourth Proportional to 4,195.35, 6,293.64 and 1,562.64

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Solution

The fourth proportional to 4,195.35, 6,293.64 and 1,562.64 is: 2,344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.35 : 6,293.64 = 1,562.64 : x
  2. Step 2: Convert to fraction form
    4,195.35/6,293.64 = 1,562.64/x
  3. Step 3: Cross multiply
    4,195.35x = 6,293.64 × 1,562.64
  4. Step 4: Simplify right side
    4,195.35x = 9,834,693.61
  5. Step 5: Solve for x
    x = 9,834,693.61/4,195.35
  6. Step 6: Final answer
    x = 2,344.19

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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.