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Finding the Fourth Proportional to 3,666.15, 5,491.41 and 1,693.40

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Solution

The fourth proportional to 3,666.15, 5,491.41 and 1,693.40 is: 2,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.15 : 5,491.41 = 1,693.40 : x
  2. Step 2: Convert to fraction form
    3,666.15/5,491.41 = 1,693.40/x
  3. Step 3: Cross multiply
    3,666.15x = 5,491.41 × 1,693.40
  4. Step 4: Simplify right side
    3,666.15x = 9,299,126.24
  5. Step 5: Solve for x
    x = 9,299,126.24/3,666.15
  6. Step 6: Final answer
    x = 2,536.48

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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.