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Finding the Fourth Proportional to 5,021.70, 7,532.54 and 1,733.00

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Solution

The fourth proportional to 5,021.70, 7,532.54 and 1,733.00 is: 2,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.70 : 7,532.54 = 1,733.00 : x
  2. Step 2: Convert to fraction form
    5,021.70/7,532.54 = 1,733.00/x
  3. Step 3: Cross multiply
    5,021.70x = 7,532.54 × 1,733.00
  4. Step 4: Simplify right side
    5,021.70x = 13,053,861.74
  5. Step 5: Solve for x
    x = 13,053,861.74/5,021.70
  6. Step 6: Final answer
    x = 2,599.49

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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.