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Finding the Fourth Proportional to 5,975.88, 8,245.80 and 3,457.50

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Solution

The fourth proportional to 5,975.88, 8,245.80 and 3,457.50 is: 4,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.88 : 8,245.80 = 3,457.50 : x
  2. Step 2: Convert to fraction form
    5,975.88/8,245.80 = 3,457.50/x
  3. Step 3: Cross multiply
    5,975.88x = 8,245.80 × 3,457.50
  4. Step 4: Simplify right side
    5,975.88x = 28,509,853.50
  5. Step 5: Solve for x
    x = 28,509,853.50/5,975.88
  6. Step 6: Final answer
    x = 4,770.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.