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Finding the Fourth Proportional to 4,668.84, 6,995.02 and 4,160.36

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Solution

The fourth proportional to 4,668.84, 6,995.02 and 4,160.36 is: 6,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.84 : 6,995.02 = 4,160.36 : x
  2. Step 2: Convert to fraction form
    4,668.84/6,995.02 = 4,160.36/x
  3. Step 3: Cross multiply
    4,668.84x = 6,995.02 × 4,160.36
  4. Step 4: Simplify right side
    4,668.84x = 29,101,801.41
  5. Step 5: Solve for x
    x = 29,101,801.41/4,668.84
  6. Step 6: Final answer
    x = 6,233.20

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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.