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Finding the Fourth Proportional to 4,364.14, 6,546.14 and 1,077.20

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Solution

The fourth proportional to 4,364.14, 6,546.14 and 1,077.20 is: 1,615.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.14 : 6,546.14 = 1,077.20 : x
  2. Step 2: Convert to fraction form
    4,364.14/6,546.14 = 1,077.20/x
  3. Step 3: Cross multiply
    4,364.14x = 6,546.14 × 1,077.20
  4. Step 4: Simplify right side
    4,364.14x = 7,051,502.01
  5. Step 5: Solve for x
    x = 7,051,502.01/4,364.14
  6. Step 6: Final answer
    x = 1,615.78

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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.