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Finding the Fourth Proportional to 4,005.68, 6,007.30 and 2,029.48

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Solution

The fourth proportional to 4,005.68, 6,007.30 and 2,029.48 is: 3,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.68 : 6,007.30 = 2,029.48 : x
  2. Step 2: Convert to fraction form
    4,005.68/6,007.30 = 2,029.48/x
  3. Step 3: Cross multiply
    4,005.68x = 6,007.30 × 2,029.48
  4. Step 4: Simplify right side
    4,005.68x = 12,191,675.11
  5. Step 5: Solve for x
    x = 12,191,675.11/4,005.68
  6. Step 6: Final answer
    x = 3,043.60

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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.