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Finding the Fourth Proportional to 3,029.94, 4,188.77 and 3,002.22

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Solution

The fourth proportional to 3,029.94, 4,188.77 and 3,002.22 is: 4,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.94 : 4,188.77 = 3,002.22 : x
  2. Step 2: Convert to fraction form
    3,029.94/4,188.77 = 3,002.22/x
  3. Step 3: Cross multiply
    3,029.94x = 4,188.77 × 3,002.22
  4. Step 4: Simplify right side
    3,029.94x = 12,575,609.07
  5. Step 5: Solve for x
    x = 12,575,609.07/3,029.94
  6. Step 6: Final answer
    x = 4,150.45

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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.