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Finding the Fourth Proportional to 5,314.83, 7,333.50 and 3,076.80

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Solution

The fourth proportional to 5,314.83, 7,333.50 and 3,076.80 is: 4,245.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.83 : 7,333.50 = 3,076.80 : x
  2. Step 2: Convert to fraction form
    5,314.83/7,333.50 = 3,076.80/x
  3. Step 3: Cross multiply
    5,314.83x = 7,333.50 × 3,076.80
  4. Step 4: Simplify right side
    5,314.83x = 22,563,712.80
  5. Step 5: Solve for x
    x = 22,563,712.80/5,314.83
  6. Step 6: Final answer
    x = 4,245.43

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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.