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Finding the Fourth Proportional to 4,647.93, 6,971.94 and 2,184.51

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Solution

The fourth proportional to 4,647.93, 6,971.94 and 2,184.51 is: 3,276.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.93 : 6,971.94 = 2,184.51 : x
  2. Step 2: Convert to fraction form
    4,647.93/6,971.94 = 2,184.51/x
  3. Step 3: Cross multiply
    4,647.93x = 6,971.94 × 2,184.51
  4. Step 4: Simplify right side
    4,647.93x = 15,230,272.65
  5. Step 5: Solve for x
    x = 15,230,272.65/4,647.93
  6. Step 6: Final answer
    x = 3,276.79

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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.