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Finding the Fourth Proportional to 7,204.70, 10,810.34 and 3,257

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Solution

The fourth proportional to 7,204.70, 10,810.34 and 3,257 is: 4,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.70 : 10,810.34 = 3,257 : x
  2. Step 2: Convert to fraction form
    7,204.70/10,810.34 = 3,257/x
  3. Step 3: Cross multiply
    7,204.70x = 10,810.34 × 3,257
  4. Step 4: Simplify right side
    7,204.70x = 35,209,277.38
  5. Step 5: Solve for x
    x = 35,209,277.38/7,204.70
  6. Step 6: Final answer
    x = 4,886.99

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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.