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Finding the Fourth Proportional to 4,648.45, 6,409.44 and 3,467.47

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Solution

The fourth proportional to 4,648.45, 6,409.44 and 3,467.47 is: 4,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.45 : 6,409.44 = 3,467.47 : x
  2. Step 2: Convert to fraction form
    4,648.45/6,409.44 = 3,467.47/x
  3. Step 3: Cross multiply
    4,648.45x = 6,409.44 × 3,467.47
  4. Step 4: Simplify right side
    4,648.45x = 22,224,536.91
  5. Step 5: Solve for x
    x = 22,224,536.91/4,648.45
  6. Step 6: Final answer
    x = 4,781.06

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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.