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Finding the Fourth Proportional to 4,804.70, 6,634.42 and 4,560.08

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Solution

The fourth proportional to 4,804.70, 6,634.42 and 4,560.08 is: 6,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.70 : 6,634.42 = 4,560.08 : x
  2. Step 2: Convert to fraction form
    4,804.70/6,634.42 = 4,560.08/x
  3. Step 3: Cross multiply
    4,804.70x = 6,634.42 × 4,560.08
  4. Step 4: Simplify right side
    4,804.70x = 30,253,441.38
  5. Step 5: Solve for x
    x = 30,253,441.38/4,804.70
  6. Step 6: Final answer
    x = 6,296.64

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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.