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Finding the Fourth Proportional to 3,607, 5,410.52 and 871

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Solution

The fourth proportional to 3,607, 5,410.52 and 871 is: 1,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 5,410.52 = 871 : x
  2. Step 2: Convert to fraction form
    3,607/5,410.52 = 871/x
  3. Step 3: Cross multiply
    3,607x = 5,410.52 × 871
  4. Step 4: Simplify right side
    3,607x = 4,712,562.92
  5. Step 5: Solve for x
    x = 4,712,562.92/3,607
  6. Step 6: Final answer
    x = 1,306.50

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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.