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Finding the Fourth Proportional to 3,687.63, 5,088.93 and 2,031.63

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Solution

The fourth proportional to 3,687.63, 5,088.93 and 2,031.63 is: 2,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.63 : 5,088.93 = 2,031.63 : x
  2. Step 2: Convert to fraction form
    3,687.63/5,088.93 = 2,031.63/x
  3. Step 3: Cross multiply
    3,687.63x = 5,088.93 × 2,031.63
  4. Step 4: Simplify right side
    3,687.63x = 10,338,787.25
  5. Step 5: Solve for x
    x = 10,338,787.25/3,687.63
  6. Step 6: Final answer
    x = 2,803.64

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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.