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Finding the Fourth Proportional to 3,594.10, 5,390.52 and 997

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Solution

The fourth proportional to 3,594.10, 5,390.52 and 997 is: 1,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.10 : 5,390.52 = 997 : x
  2. Step 2: Convert to fraction form
    3,594.10/5,390.52 = 997/x
  3. Step 3: Cross multiply
    3,594.10x = 5,390.52 × 997
  4. Step 4: Simplify right side
    3,594.10x = 5,374,348.44
  5. Step 5: Solve for x
    x = 5,374,348.44/3,594.10
  6. Step 6: Final answer
    x = 1,495.33

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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.