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Finding the Fourth Proportional to 4,896.36, 6,752.81 and 3,407.84

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Solution

The fourth proportional to 4,896.36, 6,752.81 and 3,407.84 is: 4,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.36 : 6,752.81 = 3,407.84 : x
  2. Step 2: Convert to fraction form
    4,896.36/6,752.81 = 3,407.84/x
  3. Step 3: Cross multiply
    4,896.36x = 6,752.81 × 3,407.84
  4. Step 4: Simplify right side
    4,896.36x = 23,012,445.23
  5. Step 5: Solve for x
    x = 23,012,445.23/4,896.36
  6. Step 6: Final answer
    x = 4,699.91

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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.