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Finding the Fourth Proportional to 4,827.05, 7,241.16 and 1,706.41

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Solution

The fourth proportional to 4,827.05, 7,241.16 and 1,706.41 is: 2,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.05 : 7,241.16 = 1,706.41 : x
  2. Step 2: Convert to fraction form
    4,827.05/7,241.16 = 1,706.41/x
  3. Step 3: Cross multiply
    4,827.05x = 7,241.16 × 1,706.41
  4. Step 4: Simplify right side
    4,827.05x = 12,356,351.63
  5. Step 5: Solve for x
    x = 12,356,351.63/4,827.05
  6. Step 6: Final answer
    x = 2,559.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.