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Finding the Fourth Proportional to 5,196.70, 7,285.10 and 5,196.70

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Solution

The fourth proportional to 5,196.70, 7,285.10 and 5,196.70 is: 7,285.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.70 : 7,285.10 = 5,196.70 : x
  2. Step 2: Convert to fraction form
    5,196.70/7,285.10 = 5,196.70/x
  3. Step 3: Cross multiply
    5,196.70x = 7,285.10 × 5,196.70
  4. Step 4: Simplify right side
    5,196.70x = 37,858,479.17
  5. Step 5: Solve for x
    x = 37,858,479.17/5,196.70
  6. Step 6: Final answer
    x = 7,285.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.