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Finding the Fourth Proportional to 3,911.34, 5,837.63 and 3,381.91

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Solution

The fourth proportional to 3,911.34, 5,837.63 and 3,381.91 is: 5,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.34 : 5,837.63 = 3,381.91 : x
  2. Step 2: Convert to fraction form
    3,911.34/5,837.63 = 3,381.91/x
  3. Step 3: Cross multiply
    3,911.34x = 5,837.63 × 3,381.91
  4. Step 4: Simplify right side
    3,911.34x = 19,742,339.27
  5. Step 5: Solve for x
    x = 19,742,339.27/3,911.34
  6. Step 6: Final answer
    x = 5,047.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.