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Finding the Fourth Proportional to 4,002.46, 6,000.02 and 1,403.98

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Solution

The fourth proportional to 4,002.46, 6,000.02 and 1,403.98 is: 2,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.46 : 6,000.02 = 1,403.98 : x
  2. Step 2: Convert to fraction form
    4,002.46/6,000.02 = 1,403.98/x
  3. Step 3: Cross multiply
    4,002.46x = 6,000.02 × 1,403.98
  4. Step 4: Simplify right side
    4,002.46x = 8,423,908.08
  5. Step 5: Solve for x
    x = 8,423,908.08/4,002.46
  6. Step 6: Final answer
    x = 2,104.68

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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.