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Finding the Fourth Proportional to 6,504.70, 8,975.89 and 3,671.32

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Solution

The fourth proportional to 6,504.70, 8,975.89 and 3,671.32 is: 5,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.70 : 8,975.89 = 3,671.32 : x
  2. Step 2: Convert to fraction form
    6,504.70/8,975.89 = 3,671.32/x
  3. Step 3: Cross multiply
    6,504.70x = 8,975.89 × 3,671.32
  4. Step 4: Simplify right side
    6,504.70x = 32,953,364.47
  5. Step 5: Solve for x
    x = 32,953,364.47/6,504.70
  6. Step 6: Final answer
    x = 5,066.09

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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.