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Finding the Fourth Proportional to 4,004.58, 6,007.68 and 1,409.34

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Solution

The fourth proportional to 4,004.58, 6,007.68 and 1,409.34 is: 2,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.58 : 6,007.68 = 1,409.34 : x
  2. Step 2: Convert to fraction form
    4,004.58/6,007.68 = 1,409.34/x
  3. Step 3: Cross multiply
    4,004.58x = 6,007.68 × 1,409.34
  4. Step 4: Simplify right side
    4,004.58x = 8,466,863.73
  5. Step 5: Solve for x
    x = 8,466,863.73/4,004.58
  6. Step 6: Final answer
    x = 2,114.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.