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Finding the Fourth Proportional to 5,297, 7,949.16 and 1,834.26

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Solution

The fourth proportional to 5,297, 7,949.16 and 1,834.26 is: 2,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297 : 7,949.16 = 1,834.26 : x
  2. Step 2: Convert to fraction form
    5,297/7,949.16 = 1,834.26/x
  3. Step 3: Cross multiply
    5,297x = 7,949.16 × 1,834.26
  4. Step 4: Simplify right side
    5,297x = 14,580,826.22
  5. Step 5: Solve for x
    x = 14,580,826.22/5,297
  6. Step 6: Final answer
    x = 2,752.66

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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.