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Finding the Fourth Proportional to 4,671.78, 6,447.06 and 2,575.89

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Solution

The fourth proportional to 4,671.78, 6,447.06 and 2,575.89 is: 3,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.78 : 6,447.06 = 2,575.89 : x
  2. Step 2: Convert to fraction form
    4,671.78/6,447.06 = 2,575.89/x
  3. Step 3: Cross multiply
    4,671.78x = 6,447.06 × 2,575.89
  4. Step 4: Simplify right side
    4,671.78x = 16,606,917.38
  5. Step 5: Solve for x
    x = 16,606,917.38/4,671.78
  6. Step 6: Final answer
    x = 3,554.73

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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.