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Finding the Fourth Proportional to 5,743.93, 7,917.63 and 4,802.83

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Solution

The fourth proportional to 5,743.93, 7,917.63 and 4,802.83 is: 6,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.93 : 7,917.63 = 4,802.83 : x
  2. Step 2: Convert to fraction form
    5,743.93/7,917.63 = 4,802.83/x
  3. Step 3: Cross multiply
    5,743.93x = 7,917.63 × 4,802.83
  4. Step 4: Simplify right side
    5,743.93x = 38,027,030.89
  5. Step 5: Solve for x
    x = 38,027,030.89/5,743.93
  6. Step 6: Final answer
    x = 6,620.39

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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.