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Finding the Fourth Proportional to 4,668.66, 7,002.99 and 1,206.18

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Solution

The fourth proportional to 4,668.66, 7,002.99 and 1,206.18 is: 1,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.66 : 7,002.99 = 1,206.18 : x
  2. Step 2: Convert to fraction form
    4,668.66/7,002.99 = 1,206.18/x
  3. Step 3: Cross multiply
    4,668.66x = 7,002.99 × 1,206.18
  4. Step 4: Simplify right side
    4,668.66x = 8,446,866.48
  5. Step 5: Solve for x
    x = 8,446,866.48/4,668.66
  6. Step 6: Final answer
    x = 1,809.27

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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.