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Finding the Fourth Proportional to 3,427.68, 4,739.40 and 3,270

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Solution

The fourth proportional to 3,427.68, 4,739.40 and 3,270 is: 4,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,427.68 : 4,739.40 = 3,270 : x
  2. Step 2: Convert to fraction form
    3,427.68/4,739.40 = 3,270/x
  3. Step 3: Cross multiply
    3,427.68x = 4,739.40 × 3,270
  4. Step 4: Simplify right side
    3,427.68x = 15,497,838.00
  5. Step 5: Solve for x
    x = 15,497,838.00/3,427.68
  6. Step 6: Final answer
    x = 4,521.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.