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Finding the Fourth Proportional to 5,700.90, 7,867.38 and 3,576.53

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Solution

The fourth proportional to 5,700.90, 7,867.38 and 3,576.53 is: 4,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.90 : 7,867.38 = 3,576.53 : x
  2. Step 2: Convert to fraction form
    5,700.90/7,867.38 = 3,576.53/x
  3. Step 3: Cross multiply
    5,700.90x = 7,867.38 × 3,576.53
  4. Step 4: Simplify right side
    5,700.90x = 28,137,863.37
  5. Step 5: Solve for x
    x = 28,137,863.37/5,700.90
  6. Step 6: Final answer
    x = 4,935.69

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Why These Related Problems?

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