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Finding the Fourth Proportional to 4,660.95, 6,432.26 and 2,536.64

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Solution

The fourth proportional to 4,660.95, 6,432.26 and 2,536.64 is: 3,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.95 : 6,432.26 = 2,536.64 : x
  2. Step 2: Convert to fraction form
    4,660.95/6,432.26 = 2,536.64/x
  3. Step 3: Cross multiply
    4,660.95x = 6,432.26 × 2,536.64
  4. Step 4: Simplify right side
    4,660.95x = 16,316,283.16
  5. Step 5: Solve for x
    x = 16,316,283.16/4,660.95
  6. Step 6: Final answer
    x = 3,500.63

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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.