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Finding the Fourth Proportional to 5,203.70, 7,816.44 and 4,423.58

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Solution

The fourth proportional to 5,203.70, 7,816.44 and 4,423.58 is: 6,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.70 : 7,816.44 = 4,423.58 : x
  2. Step 2: Convert to fraction form
    5,203.70/7,816.44 = 4,423.58/x
  3. Step 3: Cross multiply
    5,203.70x = 7,816.44 × 4,423.58
  4. Step 4: Simplify right side
    5,203.70x = 34,576,647.66
  5. Step 5: Solve for x
    x = 34,576,647.66/5,203.70
  6. Step 6: Final answer
    x = 6,644.63

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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.