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Finding the Fourth Proportional to 5,196.49, 7,793.65 and 1,497.89

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Solution

The fourth proportional to 5,196.49, 7,793.65 and 1,497.89 is: 2,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.49 : 7,793.65 = 1,497.89 : x
  2. Step 2: Convert to fraction form
    5,196.49/7,793.65 = 1,497.89/x
  3. Step 3: Cross multiply
    5,196.49x = 7,793.65 × 1,497.89
  4. Step 4: Simplify right side
    5,196.49x = 11,674,051.75
  5. Step 5: Solve for x
    x = 11,674,051.75/5,196.49
  6. Step 6: Final answer
    x = 2,246.53

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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.