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Finding the Fourth Proportional to 5,218.47, 7,809.08 and 4,533.21

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Solution

The fourth proportional to 5,218.47, 7,809.08 and 4,533.21 is: 6,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.47 : 7,809.08 = 4,533.21 : x
  2. Step 2: Convert to fraction form
    5,218.47/7,809.08 = 4,533.21/x
  3. Step 3: Cross multiply
    5,218.47x = 7,809.08 × 4,533.21
  4. Step 4: Simplify right side
    5,218.47x = 35,400,176.88
  5. Step 5: Solve for x
    x = 35,400,176.88/5,218.47
  6. Step 6: Final answer
    x = 6,783.63

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