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Finding the Fourth Proportional to 4,994.21, 6,894.77 and 3,005.25

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Solution

The fourth proportional to 4,994.21, 6,894.77 and 3,005.25 is: 4,148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.21 : 6,894.77 = 3,005.25 : x
  2. Step 2: Convert to fraction form
    4,994.21/6,894.77 = 3,005.25/x
  3. Step 3: Cross multiply
    4,994.21x = 6,894.77 × 3,005.25
  4. Step 4: Simplify right side
    4,994.21x = 20,720,492.52
  5. Step 5: Solve for x
    x = 20,720,492.52/4,994.21
  6. Step 6: Final answer
    x = 4,148.91

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