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Finding the Fourth Proportional to 3,767.76, 5,638.68 and 3,681.36

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Solution

The fourth proportional to 3,767.76, 5,638.68 and 3,681.36 is: 5,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.76 : 5,638.68 = 3,681.36 : x
  2. Step 2: Convert to fraction form
    3,767.76/5,638.68 = 3,681.36/x
  3. Step 3: Cross multiply
    3,767.76x = 5,638.68 × 3,681.36
  4. Step 4: Simplify right side
    3,767.76x = 20,758,011.00
  5. Step 5: Solve for x
    x = 20,758,011.00/3,767.76
  6. Step 6: Final answer
    x = 5,509.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.