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Finding the Fourth Proportional to 6,415.68, 8,852.64 and 3,621.12

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Solution

The fourth proportional to 6,415.68, 8,852.64 and 3,621.12 is: 4,996.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.68 : 8,852.64 = 3,621.12 : x
  2. Step 2: Convert to fraction form
    6,415.68/8,852.64 = 3,621.12/x
  3. Step 3: Cross multiply
    6,415.68x = 8,852.64 × 3,621.12
  4. Step 4: Simplify right side
    6,415.68x = 32,056,471.76
  5. Step 5: Solve for x
    x = 32,056,471.76/6,415.68
  6. Step 6: Final answer
    x = 4,996.58

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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.