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Finding the Fourth Proportional to 6,045.40, 9,076.20 and 3,858.40

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Solution

The fourth proportional to 6,045.40, 9,076.20 and 3,858.40 is: 5,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.40 : 9,076.20 = 3,858.40 : x
  2. Step 2: Convert to fraction form
    6,045.40/9,076.20 = 3,858.40/x
  3. Step 3: Cross multiply
    6,045.40x = 9,076.20 × 3,858.40
  4. Step 4: Simplify right side
    6,045.40x = 35,019,610.08
  5. Step 5: Solve for x
    x = 35,019,610.08/6,045.40
  6. Step 6: Final answer
    x = 5,792.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.