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Finding the Fourth Proportional to 6,782.48, 9,360 and 3,798.30

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Solution

The fourth proportional to 6,782.48, 9,360 and 3,798.30 is: 5,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.48 : 9,360 = 3,798.30 : x
  2. Step 2: Convert to fraction form
    6,782.48/9,360 = 3,798.30/x
  3. Step 3: Cross multiply
    6,782.48x = 9,360 × 3,798.30
  4. Step 4: Simplify right side
    6,782.48x = 35,552,088
  5. Step 5: Solve for x
    x = 35,552,088/6,782.48
  6. Step 6: Final answer
    x = 5,241.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.