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Finding the Fourth Proportional to 3,657.69, 5,490.14 and 2,681.01

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Solution

The fourth proportional to 3,657.69, 5,490.14 and 2,681.01 is: 4,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.69 : 5,490.14 = 2,681.01 : x
  2. Step 2: Convert to fraction form
    3,657.69/5,490.14 = 2,681.01/x
  3. Step 3: Cross multiply
    3,657.69x = 5,490.14 × 2,681.01
  4. Step 4: Simplify right side
    3,657.69x = 14,719,106.84
  5. Step 5: Solve for x
    x = 14,719,106.84/3,657.69
  6. Step 6: Final answer
    x = 4,024.15

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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.