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Finding the Fourth Proportional to 5,333.53, 8,001.23 and 1,823.89

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Solution

The fourth proportional to 5,333.53, 8,001.23 and 1,823.89 is: 2,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.53 : 8,001.23 = 1,823.89 : x
  2. Step 2: Convert to fraction form
    5,333.53/8,001.23 = 1,823.89/x
  3. Step 3: Cross multiply
    5,333.53x = 8,001.23 × 1,823.89
  4. Step 4: Simplify right side
    5,333.53x = 14,593,371.11
  5. Step 5: Solve for x
    x = 14,593,371.11/5,333.53
  6. Step 6: Final answer
    x = 2,736.15

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Why These Related Problems?

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