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Finding the Fourth Proportional to 5,197.16, 7,799.51 and 2,035.08

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Solution

The fourth proportional to 5,197.16, 7,799.51 and 2,035.08 is: 3,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.16 : 7,799.51 = 2,035.08 : x
  2. Step 2: Convert to fraction form
    5,197.16/7,799.51 = 2,035.08/x
  3. Step 3: Cross multiply
    5,197.16x = 7,799.51 × 2,035.08
  4. Step 4: Simplify right side
    5,197.16x = 15,872,631.90
  5. Step 5: Solve for x
    x = 15,872,631.90/5,197.16
  6. Step 6: Final answer
    x = 3,054.10

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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.