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Finding the Fourth Proportional to 4,615.38, 6,922.88 and 1,328.46

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Solution

The fourth proportional to 4,615.38, 6,922.88 and 1,328.46 is: 1,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.38 : 6,922.88 = 1,328.46 : x
  2. Step 2: Convert to fraction form
    4,615.38/6,922.88 = 1,328.46/x
  3. Step 3: Cross multiply
    4,615.38x = 6,922.88 × 1,328.46
  4. Step 4: Simplify right side
    4,615.38x = 9,196,769.16
  5. Step 5: Solve for x
    x = 9,196,769.16/4,615.38
  6. Step 6: Final answer
    x = 1,992.64

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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.