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Finding the Fourth Proportional to 5,947.41, 8,211.54 and 5,316.02

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Solution

The fourth proportional to 5,947.41, 8,211.54 and 5,316.02 is: 7,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.41 : 8,211.54 = 5,316.02 : x
  2. Step 2: Convert to fraction form
    5,947.41/8,211.54 = 5,316.02/x
  3. Step 3: Cross multiply
    5,947.41x = 8,211.54 × 5,316.02
  4. Step 4: Simplify right side
    5,947.41x = 43,652,710.87
  5. Step 5: Solve for x
    x = 43,652,710.87/5,947.41
  6. Step 6: Final answer
    x = 7,339.79

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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.