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Finding the Fourth Proportional to 5,835.95, 8,741.55 and 4,076.78

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Solution

The fourth proportional to 5,835.95, 8,741.55 and 4,076.78 is: 6,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.95 : 8,741.55 = 4,076.78 : x
  2. Step 2: Convert to fraction form
    5,835.95/8,741.55 = 4,076.78/x
  3. Step 3: Cross multiply
    5,835.95x = 8,741.55 × 4,076.78
  4. Step 4: Simplify right side
    5,835.95x = 35,637,362.56
  5. Step 5: Solve for x
    x = 35,637,362.56/5,835.95
  6. Step 6: Final answer
    x = 6,106.52

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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.