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Finding the Fourth Proportional to 6,505.98, 8,975.94 and 3,853.02

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Solution

The fourth proportional to 6,505.98, 8,975.94 and 3,853.02 is: 5,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.98 : 8,975.94 = 3,853.02 : x
  2. Step 2: Convert to fraction form
    6,505.98/8,975.94 = 3,853.02/x
  3. Step 3: Cross multiply
    6,505.98x = 8,975.94 × 3,853.02
  4. Step 4: Simplify right side
    6,505.98x = 34,584,476.34
  5. Step 5: Solve for x
    x = 34,584,476.34/6,505.98
  6. Step 6: Final answer
    x = 5,315.80

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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.