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Finding the Fourth Proportional to 5,209.17, 7,804.63 and 4,337.27

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Solution

The fourth proportional to 5,209.17, 7,804.63 and 4,337.27 is: 6,498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.17 : 7,804.63 = 4,337.27 : x
  2. Step 2: Convert to fraction form
    5,209.17/7,804.63 = 4,337.27/x
  3. Step 3: Cross multiply
    5,209.17x = 7,804.63 × 4,337.27
  4. Step 4: Simplify right side
    5,209.17x = 33,850,783.23
  5. Step 5: Solve for x
    x = 33,850,783.23/5,209.17
  6. Step 6: Final answer
    x = 6,498.31

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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.