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Finding the Fourth Proportional to 4,002.94, 6,004.44 and 1,405.88

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Solution

The fourth proportional to 4,002.94, 6,004.44 and 1,405.88 is: 2,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.94 : 6,004.44 = 1,405.88 : x
  2. Step 2: Convert to fraction form
    4,002.94/6,004.44 = 1,405.88/x
  3. Step 3: Cross multiply
    4,002.94x = 6,004.44 × 1,405.88
  4. Step 4: Simplify right side
    4,002.94x = 8,441,492.09
  5. Step 5: Solve for x
    x = 8,441,492.09/4,002.94
  6. Step 6: Final answer
    x = 2,108.82

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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.