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Finding the Fourth Proportional to 4,187.64, 6,276.24 and 1,721.10

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Solution

The fourth proportional to 4,187.64, 6,276.24 and 1,721.10 is: 2,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.64 : 6,276.24 = 1,721.10 : x
  2. Step 2: Convert to fraction form
    4,187.64/6,276.24 = 1,721.10/x
  3. Step 3: Cross multiply
    4,187.64x = 6,276.24 × 1,721.10
  4. Step 4: Simplify right side
    4,187.64x = 10,802,036.66
  5. Step 5: Solve for x
    x = 10,802,036.66/4,187.64
  6. Step 6: Final answer
    x = 2,579.50

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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.