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Finding the Fourth Proportional to 6,512.94, 8,984.52 and 4,152.60

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Solution

The fourth proportional to 6,512.94, 8,984.52 and 4,152.60 is: 5,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.94 : 8,984.52 = 4,152.60 : x
  2. Step 2: Convert to fraction form
    6,512.94/8,984.52 = 4,152.60/x
  3. Step 3: Cross multiply
    6,512.94x = 8,984.52 × 4,152.60
  4. Step 4: Simplify right side
    6,512.94x = 37,309,117.75
  5. Step 5: Solve for x
    x = 37,309,117.75/6,512.94
  6. Step 6: Final answer
    x = 5,728.46

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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.