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Finding the Fourth Proportional to 5,812.70, 8,029.24 and 4,569.44

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Solution

The fourth proportional to 5,812.70, 8,029.24 and 4,569.44 is: 6,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.70 : 8,029.24 = 4,569.44 : x
  2. Step 2: Convert to fraction form
    5,812.70/8,029.24 = 4,569.44/x
  3. Step 3: Cross multiply
    5,812.70x = 8,029.24 × 4,569.44
  4. Step 4: Simplify right side
    5,812.70x = 36,689,130.43
  5. Step 5: Solve for x
    x = 36,689,130.43/5,812.70
  6. Step 6: Final answer
    x = 6,311.89

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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.