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Finding the Fourth Proportional to 5,269.56, 7,902.63 and 4,924.50

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Solution

The fourth proportional to 5,269.56, 7,902.63 and 4,924.50 is: 7,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.56 : 7,902.63 = 4,924.50 : x
  2. Step 2: Convert to fraction form
    5,269.56/7,902.63 = 4,924.50/x
  3. Step 3: Cross multiply
    5,269.56x = 7,902.63 × 4,924.50
  4. Step 4: Simplify right side
    5,269.56x = 38,916,501.44
  5. Step 5: Solve for x
    x = 38,916,501.44/5,269.56
  6. Step 6: Final answer
    x = 7,385.15

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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.