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Finding the Fourth Proportional to 3,247.83, 4,870.01 and 1,686.26

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Solution

The fourth proportional to 3,247.83, 4,870.01 and 1,686.26 is: 2,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.83 : 4,870.01 = 1,686.26 : x
  2. Step 2: Convert to fraction form
    3,247.83/4,870.01 = 1,686.26/x
  3. Step 3: Cross multiply
    3,247.83x = 4,870.01 × 1,686.26
  4. Step 4: Simplify right side
    3,247.83x = 8,212,103.06
  5. Step 5: Solve for x
    x = 8,212,103.06/3,247.83
  6. Step 6: Final answer
    x = 2,528.49

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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.