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Finding the Fourth Proportional to 4,680.32, 6,447.54 and 4,005.97

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Solution

The fourth proportional to 4,680.32, 6,447.54 and 4,005.97 is: 5,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.32 : 6,447.54 = 4,005.97 : x
  2. Step 2: Convert to fraction form
    4,680.32/6,447.54 = 4,005.97/x
  3. Step 3: Cross multiply
    4,680.32x = 6,447.54 × 4,005.97
  4. Step 4: Simplify right side
    4,680.32x = 25,828,650.72
  5. Step 5: Solve for x
    x = 25,828,650.72/4,680.32
  6. Step 6: Final answer
    x = 5,518.57

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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.