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Finding the Fourth Proportional to 5,823.53, 8,735.24 and 1,663.53

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Solution

The fourth proportional to 5,823.53, 8,735.24 and 1,663.53 is: 2,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.53 : 8,735.24 = 1,663.53 : x
  2. Step 2: Convert to fraction form
    5,823.53/8,735.24 = 1,663.53/x
  3. Step 3: Cross multiply
    5,823.53x = 8,735.24 × 1,663.53
  4. Step 4: Simplify right side
    5,823.53x = 14,531,337.96
  5. Step 5: Solve for x
    x = 14,531,337.96/5,823.53
  6. Step 6: Final answer
    x = 2,495.28

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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.