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Finding the Fourth Proportional to 4,641.87, 6,963.09 and 1,868.53

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Solution

The fourth proportional to 4,641.87, 6,963.09 and 1,868.53 is: 2,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.87 : 6,963.09 = 1,868.53 : x
  2. Step 2: Convert to fraction form
    4,641.87/6,963.09 = 1,868.53/x
  3. Step 3: Cross multiply
    4,641.87x = 6,963.09 × 1,868.53
  4. Step 4: Simplify right side
    4,641.87x = 13,010,742.56
  5. Step 5: Solve for x
    x = 13,010,742.56/4,641.87
  6. Step 6: Final answer
    x = 2,802.91

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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.