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Finding the Fourth Proportional to 4,402.84, 6,604.18 and 1,771.50

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Solution

The fourth proportional to 4,402.84, 6,604.18 and 1,771.50 is: 2,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.84 : 6,604.18 = 1,771.50 : x
  2. Step 2: Convert to fraction form
    4,402.84/6,604.18 = 1,771.50/x
  3. Step 3: Cross multiply
    4,402.84x = 6,604.18 × 1,771.50
  4. Step 4: Simplify right side
    4,402.84x = 11,699,304.87
  5. Step 5: Solve for x
    x = 11,699,304.87/4,402.84
  6. Step 6: Final answer
    x = 2,657.22

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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.