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Finding the Fourth Proportional to 3,894.03, 5,829.71 and 3,028.95

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Solution

The fourth proportional to 3,894.03, 5,829.71 and 3,028.95 is: 4,534.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.03 : 5,829.71 = 3,028.95 : x
  2. Step 2: Convert to fraction form
    3,894.03/5,829.71 = 3,028.95/x
  3. Step 3: Cross multiply
    3,894.03x = 5,829.71 × 3,028.95
  4. Step 4: Simplify right side
    3,894.03x = 17,657,884.96
  5. Step 5: Solve for x
    x = 17,657,884.96/3,894.03
  6. Step 6: Final answer
    x = 4,534.60

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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.