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Finding the Fourth Proportional to 3,700.47, 5,106.87 and 2,638.56

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Solution

The fourth proportional to 3,700.47, 5,106.87 and 2,638.56 is: 3,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.47 : 5,106.87 = 2,638.56 : x
  2. Step 2: Convert to fraction form
    3,700.47/5,106.87 = 2,638.56/x
  3. Step 3: Cross multiply
    3,700.47x = 5,106.87 × 2,638.56
  4. Step 4: Simplify right side
    3,700.47x = 13,474,782.91
  5. Step 5: Solve for x
    x = 13,474,782.91/3,700.47
  6. Step 6: Final answer
    x = 3,641.37

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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.