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Finding the Fourth Proportional to 3,437.78, 4,748.00 and 2,323.31

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Solution

The fourth proportional to 3,437.78, 4,748.00 and 2,323.31 is: 3,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.78 : 4,748.00 = 2,323.31 : x
  2. Step 2: Convert to fraction form
    3,437.78/4,748.00 = 2,323.31/x
  3. Step 3: Cross multiply
    3,437.78x = 4,748.00 × 2,323.31
  4. Step 4: Simplify right side
    3,437.78x = 11,031,040.52
  5. Step 5: Solve for x
    x = 11,031,040.52/3,437.78
  6. Step 6: Final answer
    x = 3,208.77

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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.