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Finding the Fourth Proportional to 6,148.76, 8,485.38 and 3,354.28

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Solution

The fourth proportional to 6,148.76, 8,485.38 and 3,354.28 is: 4,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.76 : 8,485.38 = 3,354.28 : x
  2. Step 2: Convert to fraction form
    6,148.76/8,485.38 = 3,354.28/x
  3. Step 3: Cross multiply
    6,148.76x = 8,485.38 × 3,354.28
  4. Step 4: Simplify right side
    6,148.76x = 28,462,340.43
  5. Step 5: Solve for x
    x = 28,462,340.43/6,148.76
  6. Step 6: Final answer
    x = 4,628.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.