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Finding the Fourth Proportional to 5,074.74, 7,002.60 and 3,084.57

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Solution

The fourth proportional to 5,074.74, 7,002.60 and 3,084.57 is: 4,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.74 : 7,002.60 = 3,084.57 : x
  2. Step 2: Convert to fraction form
    5,074.74/7,002.60 = 3,084.57/x
  3. Step 3: Cross multiply
    5,074.74x = 7,002.60 × 3,084.57
  4. Step 4: Simplify right side
    5,074.74x = 21,600,009.88
  5. Step 5: Solve for x
    x = 21,600,009.88/5,074.74
  6. Step 6: Final answer
    x = 4,256.38

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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.