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Finding the Fourth Proportional to 3,657.81, 5,047.51 and 2,165.34

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Solution

The fourth proportional to 3,657.81, 5,047.51 and 2,165.34 is: 2,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.81 : 5,047.51 = 2,165.34 : x
  2. Step 2: Convert to fraction form
    3,657.81/5,047.51 = 2,165.34/x
  3. Step 3: Cross multiply
    3,657.81x = 5,047.51 × 2,165.34
  4. Step 4: Simplify right side
    3,657.81x = 10,929,575.30
  5. Step 5: Solve for x
    x = 10,929,575.30/3,657.81
  6. Step 6: Final answer
    x = 2,988.01

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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.