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Finding the Fourth Proportional to 6,504.34, 8,975.32 and 3,671.46

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Solution

The fourth proportional to 6,504.34, 8,975.32 and 3,671.46 is: 5,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.34 : 8,975.32 = 3,671.46 : x
  2. Step 2: Convert to fraction form
    6,504.34/8,975.32 = 3,671.46/x
  3. Step 3: Cross multiply
    6,504.34x = 8,975.32 × 3,671.46
  4. Step 4: Simplify right side
    6,504.34x = 32,952,528.37
  5. Step 5: Solve for x
    x = 32,952,528.37/6,504.34
  6. Step 6: Final answer
    x = 5,066.24

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Why These Related Problems?

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