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Finding the Fourth Proportional to 5,493.56, 7,575.32 and 4,152.26

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Solution

The fourth proportional to 5,493.56, 7,575.32 and 4,152.26 is: 5,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.56 : 7,575.32 = 4,152.26 : x
  2. Step 2: Convert to fraction form
    5,493.56/7,575.32 = 4,152.26/x
  3. Step 3: Cross multiply
    5,493.56x = 7,575.32 × 4,152.26
  4. Step 4: Simplify right side
    5,493.56x = 31,454,698.22
  5. Step 5: Solve for x
    x = 31,454,698.22/5,493.56
  6. Step 6: Final answer
    x = 5,725.74

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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.