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Finding the Fourth Proportional to 5,203.44, 7,804.32 and 2,430

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Solution

The fourth proportional to 5,203.44, 7,804.32 and 2,430 is: 3,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.44 : 7,804.32 = 2,430 : x
  2. Step 2: Convert to fraction form
    5,203.44/7,804.32 = 2,430/x
  3. Step 3: Cross multiply
    5,203.44x = 7,804.32 × 2,430
  4. Step 4: Simplify right side
    5,203.44x = 18,964,497.60
  5. Step 5: Solve for x
    x = 18,964,497.60/5,203.44
  6. Step 6: Final answer
    x = 3,644.61

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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.