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Finding the Fourth Proportional to 4,648.74, 6,972.59 and 1,361.86

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Solution

The fourth proportional to 4,648.74, 6,972.59 and 1,361.86 is: 2,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.74 : 6,972.59 = 1,361.86 : x
  2. Step 2: Convert to fraction form
    4,648.74/6,972.59 = 1,361.86/x
  3. Step 3: Cross multiply
    4,648.74x = 6,972.59 × 1,361.86
  4. Step 4: Simplify right side
    4,648.74x = 9,495,691.42
  5. Step 5: Solve for x
    x = 9,495,691.42/4,648.74
  6. Step 6: Final answer
    x = 2,042.64

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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.