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Finding the Fourth Proportional to 5,051.84, 7,578.48 and 2,453

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Solution

The fourth proportional to 5,051.84, 7,578.48 and 2,453 is: 3,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.84 : 7,578.48 = 2,453 : x
  2. Step 2: Convert to fraction form
    5,051.84/7,578.48 = 2,453/x
  3. Step 3: Cross multiply
    5,051.84x = 7,578.48 × 2,453
  4. Step 4: Simplify right side
    5,051.84x = 18,590,011.44
  5. Step 5: Solve for x
    x = 18,590,011.44/5,051.84
  6. Step 6: Final answer
    x = 3,679.85

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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.