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Finding the Fourth Proportional to 4,172.84, 5,759.51 and 2,495

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Solution

The fourth proportional to 4,172.84, 5,759.51 and 2,495 is: 3,443.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.84 : 5,759.51 = 2,495 : x
  2. Step 2: Convert to fraction form
    4,172.84/5,759.51 = 2,495/x
  3. Step 3: Cross multiply
    4,172.84x = 5,759.51 × 2,495
  4. Step 4: Simplify right side
    4,172.84x = 14,369,977.45
  5. Step 5: Solve for x
    x = 14,369,977.45/4,172.84
  6. Step 6: Final answer
    x = 3,443.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.