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Finding the Fourth Proportional to 4,653.72, 6,974.41 and 3,415.32

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Solution

The fourth proportional to 4,653.72, 6,974.41 and 3,415.32 is: 5,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.72 : 6,974.41 = 3,415.32 : x
  2. Step 2: Convert to fraction form
    4,653.72/6,974.41 = 3,415.32/x
  3. Step 3: Cross multiply
    4,653.72x = 6,974.41 × 3,415.32
  4. Step 4: Simplify right side
    4,653.72x = 23,819,841.96
  5. Step 5: Solve for x
    x = 23,819,841.96/4,653.72
  6. Step 6: Final answer
    x = 5,118.45

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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.