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Finding the Fourth Proportional to 4,564.74, 6,848.03 and 1,932.24

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Solution

The fourth proportional to 4,564.74, 6,848.03 and 1,932.24 is: 2,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.74 : 6,848.03 = 1,932.24 : x
  2. Step 2: Convert to fraction form
    4,564.74/6,848.03 = 1,932.24/x
  3. Step 3: Cross multiply
    4,564.74x = 6,848.03 × 1,932.24
  4. Step 4: Simplify right side
    4,564.74x = 13,231,993.59
  5. Step 5: Solve for x
    x = 13,231,993.59/4,564.74
  6. Step 6: Final answer
    x = 2,898.74

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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.