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Finding the Fourth Proportional to 5,968.08, 8,213.40 and 5,346

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Solution

The fourth proportional to 5,968.08, 8,213.40 and 5,346 is: 7,357.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.08 : 8,213.40 = 5,346 : x
  2. Step 2: Convert to fraction form
    5,968.08/8,213.40 = 5,346/x
  3. Step 3: Cross multiply
    5,968.08x = 8,213.40 × 5,346
  4. Step 4: Simplify right side
    5,968.08x = 43,908,836.40
  5. Step 5: Solve for x
    x = 43,908,836.40/5,968.08
  6. Step 6: Final answer
    x = 7,357.28

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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.