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Finding the Fourth Proportional to 5,270.69, 7,905.13 and 1,807.94

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Solution

The fourth proportional to 5,270.69, 7,905.13 and 1,807.94 is: 2,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.69 : 7,905.13 = 1,807.94 : x
  2. Step 2: Convert to fraction form
    5,270.69/7,905.13 = 1,807.94/x
  3. Step 3: Cross multiply
    5,270.69x = 7,905.13 × 1,807.94
  4. Step 4: Simplify right side
    5,270.69x = 14,292,015.98
  5. Step 5: Solve for x
    x = 14,292,015.98/5,270.69
  6. Step 6: Final answer
    x = 2,711.60

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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.