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Finding the Fourth Proportional to 4,563.62, 6,825.98 and 2,804.30

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Solution

The fourth proportional to 4,563.62, 6,825.98 and 2,804.30 is: 4,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.62 : 6,825.98 = 2,804.30 : x
  2. Step 2: Convert to fraction form
    4,563.62/6,825.98 = 2,804.30/x
  3. Step 3: Cross multiply
    4,563.62x = 6,825.98 × 2,804.30
  4. Step 4: Simplify right side
    4,563.62x = 19,142,095.71
  5. Step 5: Solve for x
    x = 19,142,095.71/4,563.62
  6. Step 6: Final answer
    x = 4,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.