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Finding the Fourth Proportional to 5,807.48, 8,711.22 and 4,083.80

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Solution

The fourth proportional to 5,807.48, 8,711.22 and 4,083.80 is: 6,125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.48 : 8,711.22 = 4,083.80 : x
  2. Step 2: Convert to fraction form
    5,807.48/8,711.22 = 4,083.80/x
  3. Step 3: Cross multiply
    5,807.48x = 8,711.22 × 4,083.80
  4. Step 4: Simplify right side
    5,807.48x = 35,574,880.24
  5. Step 5: Solve for x
    x = 35,574,880.24/5,807.48
  6. Step 6: Final answer
    x = 6,125.70

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