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Finding the Fourth Proportional to 4,678.59, 7,011 and 3,196.02

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Solution

The fourth proportional to 4,678.59, 7,011 and 3,196.02 is: 4,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.59 : 7,011 = 3,196.02 : x
  2. Step 2: Convert to fraction form
    4,678.59/7,011 = 3,196.02/x
  3. Step 3: Cross multiply
    4,678.59x = 7,011 × 3,196.02
  4. Step 4: Simplify right side
    4,678.59x = 22,407,296.22
  5. Step 5: Solve for x
    x = 22,407,296.22/4,678.59
  6. Step 6: Final answer
    x = 4,789.33

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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.