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Finding the Fourth Proportional to 5,206, 7,184.13 and 2,848.09

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Solution

The fourth proportional to 5,206, 7,184.13 and 2,848.09 is: 3,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 7,184.13 = 2,848.09 : x
  2. Step 2: Convert to fraction form
    5,206/7,184.13 = 2,848.09/x
  3. Step 3: Cross multiply
    5,206x = 7,184.13 × 2,848.09
  4. Step 4: Simplify right side
    5,206x = 20,461,048.81
  5. Step 5: Solve for x
    x = 20,461,048.81/5,206
  6. Step 6: Final answer
    x = 3,930.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.