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Finding the Fourth Proportional to 4,643.71, 6,963.83 and 1,869.44

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Solution

The fourth proportional to 4,643.71, 6,963.83 and 1,869.44 is: 2,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.71 : 6,963.83 = 1,869.44 : x
  2. Step 2: Convert to fraction form
    4,643.71/6,963.83 = 1,869.44/x
  3. Step 3: Cross multiply
    4,643.71x = 6,963.83 × 1,869.44
  4. Step 4: Simplify right side
    4,643.71x = 13,018,453.01
  5. Step 5: Solve for x
    x = 13,018,453.01/4,643.71
  6. Step 6: Final answer
    x = 2,803.46

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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.