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Finding the Fourth Proportional to 5,206.78, 7,188.65 and 3,218.47

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Solution

The fourth proportional to 5,206.78, 7,188.65 and 3,218.47 is: 4,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.78 : 7,188.65 = 3,218.47 : x
  2. Step 2: Convert to fraction form
    5,206.78/7,188.65 = 3,218.47/x
  3. Step 3: Cross multiply
    5,206.78x = 7,188.65 × 3,218.47
  4. Step 4: Simplify right side
    5,206.78x = 23,136,432.37
  5. Step 5: Solve for x
    x = 23,136,432.37/5,206.78
  6. Step 6: Final answer
    x = 4,443.52

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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.