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Finding the Fourth Proportional to 3,916.27, 5,404.45 and 2,323.00

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Solution

The fourth proportional to 3,916.27, 5,404.45 and 2,323.00 is: 3,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.27 : 5,404.45 = 2,323.00 : x
  2. Step 2: Convert to fraction form
    3,916.27/5,404.45 = 2,323.00/x
  3. Step 3: Cross multiply
    3,916.27x = 5,404.45 × 2,323.00
  4. Step 4: Simplify right side
    3,916.27x = 12,554,566.02
  5. Step 5: Solve for x
    x = 12,554,566.02/3,916.27
  6. Step 6: Final answer
    x = 3,205.75

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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.