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Finding the Fourth Proportional to 4,953.50, 6,836 and 3,340.58

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Solution

The fourth proportional to 4,953.50, 6,836 and 3,340.58 is: 4,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.50 : 6,836 = 3,340.58 : x
  2. Step 2: Convert to fraction form
    4,953.50/6,836 = 3,340.58/x
  3. Step 3: Cross multiply
    4,953.50x = 6,836 × 3,340.58
  4. Step 4: Simplify right side
    4,953.50x = 22,836,204.88
  5. Step 5: Solve for x
    x = 22,836,204.88/4,953.50
  6. Step 6: Final answer
    x = 4,610.12

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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.