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Finding the Fourth Proportional to 4,641.26, 6,957.03 and 2,174

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Solution

The fourth proportional to 4,641.26, 6,957.03 and 2,174 is: 3,258.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.26 : 6,957.03 = 2,174 : x
  2. Step 2: Convert to fraction form
    4,641.26/6,957.03 = 2,174/x
  3. Step 3: Cross multiply
    4,641.26x = 6,957.03 × 2,174
  4. Step 4: Simplify right side
    4,641.26x = 15,124,583.22
  5. Step 5: Solve for x
    x = 15,124,583.22/4,641.26
  6. Step 6: Final answer
    x = 3,258.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.