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Finding the Fourth Proportional to 5,270.49, 7,905.74 and 1,808.01

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Solution

The fourth proportional to 5,270.49, 7,905.74 and 1,808.01 is: 2,712.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.49 : 7,905.74 = 1,808.01 : x
  2. Step 2: Convert to fraction form
    5,270.49/7,905.74 = 1,808.01/x
  3. Step 3: Cross multiply
    5,270.49x = 7,905.74 × 1,808.01
  4. Step 4: Simplify right side
    5,270.49x = 14,293,647.94
  5. Step 5: Solve for x
    x = 14,293,647.94/5,270.49
  6. Step 6: Final answer
    x = 2,712.02

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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.