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Finding the Fourth Proportional to 5,218.39, 7,204.74 and 4,657.92

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Solution

The fourth proportional to 5,218.39, 7,204.74 and 4,657.92 is: 6,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.39 : 7,204.74 = 4,657.92 : x
  2. Step 2: Convert to fraction form
    5,218.39/7,204.74 = 4,657.92/x
  3. Step 3: Cross multiply
    5,218.39x = 7,204.74 × 4,657.92
  4. Step 4: Simplify right side
    5,218.39x = 33,559,102.54
  5. Step 5: Solve for x
    x = 33,559,102.54/5,218.39
  6. Step 6: Final answer
    x = 6,430.93

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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.