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Finding the Fourth Proportional to 3,237.32, 4,854.86 and 1,157.32

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Solution

The fourth proportional to 3,237.32, 4,854.86 and 1,157.32 is: 1,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.32 : 4,854.86 = 1,157.32 : x
  2. Step 2: Convert to fraction form
    3,237.32/4,854.86 = 1,157.32/x
  3. Step 3: Cross multiply
    3,237.32x = 4,854.86 × 1,157.32
  4. Step 4: Simplify right side
    3,237.32x = 5,618,626.58
  5. Step 5: Solve for x
    x = 5,618,626.58/3,237.32
  6. Step 6: Final answer
    x = 1,735.58

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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.