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Finding the Fourth Proportional to 4,675.69, 6,443.55 and 3,347.09

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Solution

The fourth proportional to 4,675.69, 6,443.55 and 3,347.09 is: 4,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.69 : 6,443.55 = 3,347.09 : x
  2. Step 2: Convert to fraction form
    4,675.69/6,443.55 = 3,347.09/x
  3. Step 3: Cross multiply
    4,675.69x = 6,443.55 × 3,347.09
  4. Step 4: Simplify right side
    4,675.69x = 21,567,133.72
  5. Step 5: Solve for x
    x = 21,567,133.72/4,675.69
  6. Step 6: Final answer
    x = 4,612.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.