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Finding the Fourth Proportional to 5,175.72, 7,726 and 4,790.24

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Solution

The fourth proportional to 5,175.72, 7,726 and 4,790.24 is: 7,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.72 : 7,726 = 4,790.24 : x
  2. Step 2: Convert to fraction form
    5,175.72/7,726 = 4,790.24/x
  3. Step 3: Cross multiply
    5,175.72x = 7,726 × 4,790.24
  4. Step 4: Simplify right side
    5,175.72x = 37,009,394.24
  5. Step 5: Solve for x
    x = 37,009,394.24/5,175.72
  6. Step 6: Final answer
    x = 7,150.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.