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Finding the Fourth Proportional to 5,409.26, 7,463.07 and 4,271.34

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Solution

The fourth proportional to 5,409.26, 7,463.07 and 4,271.34 is: 5,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.26 : 7,463.07 = 4,271.34 : x
  2. Step 2: Convert to fraction form
    5,409.26/7,463.07 = 4,271.34/x
  3. Step 3: Cross multiply
    5,409.26x = 7,463.07 × 4,271.34
  4. Step 4: Simplify right side
    5,409.26x = 31,877,309.41
  5. Step 5: Solve for x
    x = 31,877,309.41/5,409.26
  6. Step 6: Final answer
    x = 5,893.11

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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.