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Finding the Fourth Proportional to 4,565.92, 6,848.96 and 1,644.48

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Solution

The fourth proportional to 4,565.92, 6,848.96 and 1,644.48 is: 2,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.92 : 6,848.96 = 1,644.48 : x
  2. Step 2: Convert to fraction form
    4,565.92/6,848.96 = 1,644.48/x
  3. Step 3: Cross multiply
    4,565.92x = 6,848.96 × 1,644.48
  4. Step 4: Simplify right side
    4,565.92x = 11,262,977.74
  5. Step 5: Solve for x
    x = 11,262,977.74/4,565.92
  6. Step 6: Final answer
    x = 2,466.75

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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.