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Finding the Fourth Proportional to 4,459.44, 6,684.72 and 1,685.28

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Solution

The fourth proportional to 4,459.44, 6,684.72 and 1,685.28 is: 2,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.44 : 6,684.72 = 1,685.28 : x
  2. Step 2: Convert to fraction form
    4,459.44/6,684.72 = 1,685.28/x
  3. Step 3: Cross multiply
    4,459.44x = 6,684.72 × 1,685.28
  4. Step 4: Simplify right side
    4,459.44x = 11,265,624.92
  5. Step 5: Solve for x
    x = 11,265,624.92/4,459.44
  6. Step 6: Final answer
    x = 2,526.24

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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.