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Finding the Fourth Proportional to 4,852.32, 6,696 and 2,756.64

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Solution

The fourth proportional to 4,852.32, 6,696 and 2,756.64 is: 3,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.32 : 6,696 = 2,756.64 : x
  2. Step 2: Convert to fraction form
    4,852.32/6,696 = 2,756.64/x
  3. Step 3: Cross multiply
    4,852.32x = 6,696 × 2,756.64
  4. Step 4: Simplify right side
    4,852.32x = 18,458,461.44
  5. Step 5: Solve for x
    x = 18,458,461.44/4,852.32
  6. Step 6: Final answer
    x = 3,804.05

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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.