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Finding the Fourth Proportional to 5,437.08, 7,506.78 and 4,175.88

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Solution

The fourth proportional to 5,437.08, 7,506.78 and 4,175.88 is: 5,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,437.08 : 7,506.78 = 4,175.88 : x
  2. Step 2: Convert to fraction form
    5,437.08/7,506.78 = 4,175.88/x
  3. Step 3: Cross multiply
    5,437.08x = 7,506.78 × 4,175.88
  4. Step 4: Simplify right side
    5,437.08x = 31,347,380.40
  5. Step 5: Solve for x
    x = 31,347,380.40/5,437.08
  6. Step 6: Final answer
    x = 5,765.48

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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.