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Finding the Fourth Proportional to 5,685.30, 8,515.80 and 4,713.30

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Solution

The fourth proportional to 5,685.30, 8,515.80 and 4,713.30 is: 7,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.30 : 8,515.80 = 4,713.30 : x
  2. Step 2: Convert to fraction form
    5,685.30/8,515.80 = 4,713.30/x
  3. Step 3: Cross multiply
    5,685.30x = 8,515.80 × 4,713.30
  4. Step 4: Simplify right side
    5,685.30x = 40,137,520.14
  5. Step 5: Solve for x
    x = 40,137,520.14/5,685.30
  6. Step 6: Final answer
    x = 7,059.88

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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.