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Finding the Fourth Proportional to 5,226.34, 7,840.59 and 1,763.50

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Solution

The fourth proportional to 5,226.34, 7,840.59 and 1,763.50 is: 2,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.34 : 7,840.59 = 1,763.50 : x
  2. Step 2: Convert to fraction form
    5,226.34/7,840.59 = 1,763.50/x
  3. Step 3: Cross multiply
    5,226.34x = 7,840.59 × 1,763.50
  4. Step 4: Simplify right side
    5,226.34x = 13,826,880.47
  5. Step 5: Solve for x
    x = 13,826,880.47/5,226.34
  6. Step 6: Final answer
    x = 2,645.61

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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.