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Finding the Fourth Proportional to 5,206, 7,810.08 and 2,128

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Solution

The fourth proportional to 5,206, 7,810.08 and 2,128 is: 3,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 7,810.08 = 2,128 : x
  2. Step 2: Convert to fraction form
    5,206/7,810.08 = 2,128/x
  3. Step 3: Cross multiply
    5,206x = 7,810.08 × 2,128
  4. Step 4: Simplify right side
    5,206x = 16,619,850.24
  5. Step 5: Solve for x
    x = 16,619,850.24/5,206
  6. Step 6: Final answer
    x = 3,192.44

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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.