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Finding the Fourth Proportional to 4,668.98, 7,002.48 and 1,382.10

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Solution

The fourth proportional to 4,668.98, 7,002.48 and 1,382.10 is: 2,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.98 : 7,002.48 = 1,382.10 : x
  2. Step 2: Convert to fraction form
    4,668.98/7,002.48 = 1,382.10/x
  3. Step 3: Cross multiply
    4,668.98x = 7,002.48 × 1,382.10
  4. Step 4: Simplify right side
    4,668.98x = 9,678,127.61
  5. Step 5: Solve for x
    x = 9,678,127.61/4,668.98
  6. Step 6: Final answer
    x = 2,072.86

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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.