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Finding the Fourth Proportional to 5,478.48, 7,559.64 and 3,240

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Solution

The fourth proportional to 5,478.48, 7,559.64 and 3,240 is: 4,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.48 : 7,559.64 = 3,240 : x
  2. Step 2: Convert to fraction form
    5,478.48/7,559.64 = 3,240/x
  3. Step 3: Cross multiply
    5,478.48x = 7,559.64 × 3,240
  4. Step 4: Simplify right side
    5,478.48x = 24,493,233.60
  5. Step 5: Solve for x
    x = 24,493,233.60/5,478.48
  6. Step 6: Final answer
    x = 4,470.81

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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.