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Finding the Fourth Proportional to 5,852.53, 8,076.50 and 3,464.16

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Solution

The fourth proportional to 5,852.53, 8,076.50 and 3,464.16 is: 4,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.53 : 8,076.50 = 3,464.16 : x
  2. Step 2: Convert to fraction form
    5,852.53/8,076.50 = 3,464.16/x
  3. Step 3: Cross multiply
    5,852.53x = 8,076.50 × 3,464.16
  4. Step 4: Simplify right side
    5,852.53x = 27,978,288.24
  5. Step 5: Solve for x
    x = 27,978,288.24/5,852.53
  6. Step 6: Final answer
    x = 4,780.55

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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.