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Finding the Fourth Proportional to 5,846.81, 8,773.39 and 3,386.44

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Solution

The fourth proportional to 5,846.81, 8,773.39 and 3,386.44 is: 5,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.81 : 8,773.39 = 3,386.44 : x
  2. Step 2: Convert to fraction form
    5,846.81/8,773.39 = 3,386.44/x
  3. Step 3: Cross multiply
    5,846.81x = 8,773.39 × 3,386.44
  4. Step 4: Simplify right side
    5,846.81x = 29,710,541.13
  5. Step 5: Solve for x
    x = 29,710,541.13/5,846.81
  6. Step 6: Final answer
    x = 5,081.49

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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.