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Finding the Fourth Proportional to 4,648.93, 6,974.31 and 2,051.89

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Solution

The fourth proportional to 4,648.93, 6,974.31 and 2,051.89 is: 3,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.93 : 6,974.31 = 2,051.89 : x
  2. Step 2: Convert to fraction form
    4,648.93/6,974.31 = 2,051.89/x
  3. Step 3: Cross multiply
    4,648.93x = 6,974.31 × 2,051.89
  4. Step 4: Simplify right side
    4,648.93x = 14,310,516.95
  5. Step 5: Solve for x
    x = 14,310,516.95/4,648.93
  6. Step 6: Final answer
    x = 3,078.24

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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.