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Finding the Fourth Proportional to 5,804.55, 8,012.57 and 3,917.25

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Solution

The fourth proportional to 5,804.55, 8,012.57 and 3,917.25 is: 5,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.55 : 8,012.57 = 3,917.25 : x
  2. Step 2: Convert to fraction form
    5,804.55/8,012.57 = 3,917.25/x
  3. Step 3: Cross multiply
    5,804.55x = 8,012.57 × 3,917.25
  4. Step 4: Simplify right side
    5,804.55x = 31,387,239.83
  5. Step 5: Solve for x
    x = 31,387,239.83/5,804.55
  6. Step 6: Final answer
    x = 5,407.35

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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.