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Finding the Fourth Proportional to 5,206.70, 7,810.07 and 1,697.02

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Solution

The fourth proportional to 5,206.70, 7,810.07 and 1,697.02 is: 2,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.70 : 7,810.07 = 1,697.02 : x
  2. Step 2: Convert to fraction form
    5,206.70/7,810.07 = 1,697.02/x
  3. Step 3: Cross multiply
    5,206.70x = 7,810.07 × 1,697.02
  4. Step 4: Simplify right side
    5,206.70x = 13,253,816.98
  5. Step 5: Solve for x
    x = 13,253,816.98/5,206.70
  6. Step 6: Final answer
    x = 2,545.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.