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Finding the Fourth Proportional to 4,804.32, 6,629.04 and 2,940

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Solution

The fourth proportional to 4,804.32, 6,629.04 and 2,940 is: 4,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.32 : 6,629.04 = 2,940 : x
  2. Step 2: Convert to fraction form
    4,804.32/6,629.04 = 2,940/x
  3. Step 3: Cross multiply
    4,804.32x = 6,629.04 × 2,940
  4. Step 4: Simplify right side
    4,804.32x = 19,489,377.60
  5. Step 5: Solve for x
    x = 19,489,377.60/4,804.32
  6. Step 6: Final answer
    x = 4,056.64

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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.