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Finding the Fourth Proportional to 5,825.00, 8,735.48 and 1,663.89

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Solution

The fourth proportional to 5,825.00, 8,735.48 and 1,663.89 is: 2,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.00 : 8,735.48 = 1,663.89 : x
  2. Step 2: Convert to fraction form
    5,825.00/8,735.48 = 1,663.89/x
  3. Step 3: Cross multiply
    5,825.00x = 8,735.48 × 1,663.89
  4. Step 4: Simplify right side
    5,825.00x = 14,534,869.50
  5. Step 5: Solve for x
    x = 14,534,869.50/5,825.00
  6. Step 6: Final answer
    x = 2,495.26

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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.