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Finding the Fourth Proportional to 4,004.65, 6,002.87 and 1,666.01

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Solution

The fourth proportional to 4,004.65, 6,002.87 and 1,666.01 is: 2,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004.65 : 6,002.87 = 1,666.01 : x
  2. Step 2: Convert to fraction form
    4,004.65/6,002.87 = 1,666.01/x
  3. Step 3: Cross multiply
    4,004.65x = 6,002.87 × 1,666.01
  4. Step 4: Simplify right side
    4,004.65x = 10,000,841.45
  5. Step 5: Solve for x
    x = 10,000,841.45/4,004.65
  6. Step 6: Final answer
    x = 2,497.31

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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.