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Finding the Fourth Proportional to 5,199.50, 7,799.25 and 1,737.02

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Solution

The fourth proportional to 5,199.50, 7,799.25 and 1,737.02 is: 2,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.50 : 7,799.25 = 1,737.02 : x
  2. Step 2: Convert to fraction form
    5,199.50/7,799.25 = 1,737.02/x
  3. Step 3: Cross multiply
    5,199.50x = 7,799.25 × 1,737.02
  4. Step 4: Simplify right side
    5,199.50x = 13,547,453.24
  5. Step 5: Solve for x
    x = 13,547,453.24/5,199.50
  6. Step 6: Final answer
    x = 2,605.53

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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.