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Finding the Fourth Proportional to 5,967.68, 8,225.08 and 4,284.48

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Solution

The fourth proportional to 5,967.68, 8,225.08 and 4,284.48 is: 5,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.68 : 8,225.08 = 4,284.48 : x
  2. Step 2: Convert to fraction form
    5,967.68/8,225.08 = 4,284.48/x
  3. Step 3: Cross multiply
    5,967.68x = 8,225.08 × 4,284.48
  4. Step 4: Simplify right side
    5,967.68x = 35,240,190.76
  5. Step 5: Solve for x
    x = 35,240,190.76/5,967.68
  6. Step 6: Final answer
    x = 5,905.17

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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.