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Finding the Fourth Proportional to 3,356.77, 4,632.21 and 1,864.78

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Solution

The fourth proportional to 3,356.77, 4,632.21 and 1,864.78 is: 2,573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.77 : 4,632.21 = 1,864.78 : x
  2. Step 2: Convert to fraction form
    3,356.77/4,632.21 = 1,864.78/x
  3. Step 3: Cross multiply
    3,356.77x = 4,632.21 × 1,864.78
  4. Step 4: Simplify right side
    3,356.77x = 8,638,043.24
  5. Step 5: Solve for x
    x = 8,638,043.24/3,356.77
  6. Step 6: Final answer
    x = 2,573.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.