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Finding the Fourth Proportional to 4,725.63, 6,521.63 and 2,629.80

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Solution

The fourth proportional to 4,725.63, 6,521.63 and 2,629.80 is: 3,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.63 : 6,521.63 = 2,629.80 : x
  2. Step 2: Convert to fraction form
    4,725.63/6,521.63 = 2,629.80/x
  3. Step 3: Cross multiply
    4,725.63x = 6,521.63 × 2,629.80
  4. Step 4: Simplify right side
    4,725.63x = 17,150,569.43
  5. Step 5: Solve for x
    x = 17,150,569.43/4,725.63
  6. Step 6: Final answer
    x = 3,629.27

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