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Finding the Fourth Proportional to 4,308.80, 6,466.40 and 1,713.60

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Solution

The fourth proportional to 4,308.80, 6,466.40 and 1,713.60 is: 2,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.80 : 6,466.40 = 1,713.60 : x
  2. Step 2: Convert to fraction form
    4,308.80/6,466.40 = 1,713.60/x
  3. Step 3: Cross multiply
    4,308.80x = 6,466.40 × 1,713.60
  4. Step 4: Simplify right side
    4,308.80x = 11,080,823.04
  5. Step 5: Solve for x
    x = 11,080,823.04/4,308.80
  6. Step 6: Final answer
    x = 2,571.67

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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.