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Finding the Fourth Proportional to 4,607, 6,910.62 and 1,529

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Solution

The fourth proportional to 4,607, 6,910.62 and 1,529 is: 2,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607 : 6,910.62 = 1,529 : x
  2. Step 2: Convert to fraction form
    4,607/6,910.62 = 1,529/x
  3. Step 3: Cross multiply
    4,607x = 6,910.62 × 1,529
  4. Step 4: Simplify right side
    4,607x = 10,566,337.98
  5. Step 5: Solve for x
    x = 10,566,337.98/4,607
  6. Step 6: Final answer
    x = 2,293.54

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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.