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Finding the Fourth Proportional to 3,699.81, 5,541.48 and 3,411.71

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Solution

The fourth proportional to 3,699.81, 5,541.48 and 3,411.71 is: 5,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.81 : 5,541.48 = 3,411.71 : x
  2. Step 2: Convert to fraction form
    3,699.81/5,541.48 = 3,411.71/x
  3. Step 3: Cross multiply
    3,699.81x = 5,541.48 × 3,411.71
  4. Step 4: Simplify right side
    3,699.81x = 18,905,895.02
  5. Step 5: Solve for x
    x = 18,905,895.02/3,699.81
  6. Step 6: Final answer
    x = 5,109.96

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Why These Related Problems?

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