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Finding the Fourth Proportional to 5,021.54, 7,533.30 and 1,734.77

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Solution

The fourth proportional to 5,021.54, 7,533.30 and 1,734.77 is: 2,602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,021.54 : 7,533.30 = 1,734.77 : x
  2. Step 2: Convert to fraction form
    5,021.54/7,533.30 = 1,734.77/x
  3. Step 3: Cross multiply
    5,021.54x = 7,533.30 × 1,734.77
  4. Step 4: Simplify right side
    5,021.54x = 13,068,542.84
  5. Step 5: Solve for x
    x = 13,068,542.84/5,021.54
  6. Step 6: Final answer
    x = 2,602.50

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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.