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Finding the Fourth Proportional to 6,096.80, 8,415.12 and 3,445.80

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Solution

The fourth proportional to 6,096.80, 8,415.12 and 3,445.80 is: 4,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.80 : 8,415.12 = 3,445.80 : x
  2. Step 2: Convert to fraction form
    6,096.80/8,415.12 = 3,445.80/x
  3. Step 3: Cross multiply
    6,096.80x = 8,415.12 × 3,445.80
  4. Step 4: Simplify right side
    6,096.80x = 28,996,820.50
  5. Step 5: Solve for x
    x = 28,996,820.50/6,096.80
  6. Step 6: Final answer
    x = 4,756.07

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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.