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Finding the Fourth Proportional to 5,035.50, 7,539.33 and 3,799.16

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Solution

The fourth proportional to 5,035.50, 7,539.33 and 3,799.16 is: 5,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,035.50 : 7,539.33 = 3,799.16 : x
  2. Step 2: Convert to fraction form
    5,035.50/7,539.33 = 3,799.16/x
  3. Step 3: Cross multiply
    5,035.50x = 7,539.33 × 3,799.16
  4. Step 4: Simplify right side
    5,035.50x = 28,643,120.96
  5. Step 5: Solve for x
    x = 28,643,120.96/5,035.50
  6. Step 6: Final answer
    x = 5,688.24

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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.