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Finding the Fourth Proportional to 6,253.42, 8,628.10 and 3,734.50

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Solution

The fourth proportional to 6,253.42, 8,628.10 and 3,734.50 is: 5,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.42 : 8,628.10 = 3,734.50 : x
  2. Step 2: Convert to fraction form
    6,253.42/8,628.10 = 3,734.50/x
  3. Step 3: Cross multiply
    6,253.42x = 8,628.10 × 3,734.50
  4. Step 4: Simplify right side
    6,253.42x = 32,221,639.45
  5. Step 5: Solve for x
    x = 32,221,639.45/6,253.42
  6. Step 6: Final answer
    x = 5,152.64

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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.