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Finding the Fourth Proportional to 5,269.84, 7,907.84 and 4,732

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Solution

The fourth proportional to 5,269.84, 7,907.84 and 4,732 is: 7,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.84 : 7,907.84 = 4,732 : x
  2. Step 2: Convert to fraction form
    5,269.84/7,907.84 = 4,732/x
  3. Step 3: Cross multiply
    5,269.84x = 7,907.84 × 4,732
  4. Step 4: Simplify right side
    5,269.84x = 37,419,898.88
  5. Step 5: Solve for x
    x = 37,419,898.88/5,269.84
  6. Step 6: Final answer
    x = 7,100.77

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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.