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Finding the Fourth Proportional to 3,241.04, 4,830.72 and 3,056.49

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Solution

The fourth proportional to 3,241.04, 4,830.72 and 3,056.49 is: 4,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.04 : 4,830.72 = 3,056.49 : x
  2. Step 2: Convert to fraction form
    3,241.04/4,830.72 = 3,056.49/x
  3. Step 3: Cross multiply
    3,241.04x = 4,830.72 × 3,056.49
  4. Step 4: Simplify right side
    3,241.04x = 14,765,035.91
  5. Step 5: Solve for x
    x = 14,765,035.91/3,241.04
  6. Step 6: Final answer
    x = 4,555.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.