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Finding the Fourth Proportional to 5,780.48, 7,977.44 and 3,794.40

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Solution

The fourth proportional to 5,780.48, 7,977.44 and 3,794.40 is: 5,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.48 : 7,977.44 = 3,794.40 : x
  2. Step 2: Convert to fraction form
    5,780.48/7,977.44 = 3,794.40/x
  3. Step 3: Cross multiply
    5,780.48x = 7,977.44 × 3,794.40
  4. Step 4: Simplify right side
    5,780.48x = 30,269,598.34
  5. Step 5: Solve for x
    x = 30,269,598.34/5,780.48
  6. Step 6: Final answer
    x = 5,236.52

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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.