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Finding the Fourth Proportional to 3,283.91, 4,927.21 and 2,410.86

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Solution

The fourth proportional to 3,283.91, 4,927.21 and 2,410.86 is: 3,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.91 : 4,927.21 = 2,410.86 : x
  2. Step 2: Convert to fraction form
    3,283.91/4,927.21 = 2,410.86/x
  3. Step 3: Cross multiply
    3,283.91x = 4,927.21 × 2,410.86
  4. Step 4: Simplify right side
    3,283.91x = 11,878,807.47
  5. Step 5: Solve for x
    x = 11,878,807.47/3,283.91
  6. Step 6: Final answer
    x = 3,617.28

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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.