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Finding the Fourth Proportional to 4,002.94, 6,007.04 and 1,811.89

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Solution

The fourth proportional to 4,002.94, 6,007.04 and 1,811.89 is: 2,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.94 : 6,007.04 = 1,811.89 : x
  2. Step 2: Convert to fraction form
    4,002.94/6,007.04 = 1,811.89/x
  3. Step 3: Cross multiply
    4,002.94x = 6,007.04 × 1,811.89
  4. Step 4: Simplify right side
    4,002.94x = 10,884,095.71
  5. Step 5: Solve for x
    x = 10,884,095.71/4,002.94
  6. Step 6: Final answer
    x = 2,719.03

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Why These Related Problems?

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