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Finding the Fourth Proportional to 3,297.64, 4,946.46 and 2,807.56

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Solution

The fourth proportional to 3,297.64, 4,946.46 and 2,807.56 is: 4,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.64 : 4,946.46 = 2,807.56 : x
  2. Step 2: Convert to fraction form
    3,297.64/4,946.46 = 2,807.56/x
  3. Step 3: Cross multiply
    3,297.64x = 4,946.46 × 2,807.56
  4. Step 4: Simplify right side
    3,297.64x = 13,887,483.24
  5. Step 5: Solve for x
    x = 13,887,483.24/3,297.64
  6. Step 6: Final answer
    x = 4,211.34

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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.