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Finding the Fourth Proportional to 3,562.25, 4,915.82 and 1,990.36

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Solution

The fourth proportional to 3,562.25, 4,915.82 and 1,990.36 is: 2,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.25 : 4,915.82 = 1,990.36 : x
  2. Step 2: Convert to fraction form
    3,562.25/4,915.82 = 1,990.36/x
  3. Step 3: Cross multiply
    3,562.25x = 4,915.82 × 1,990.36
  4. Step 4: Simplify right side
    3,562.25x = 9,784,216.96
  5. Step 5: Solve for x
    x = 9,784,216.96/3,562.25
  6. Step 6: Final answer
    x = 2,746.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.