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Finding the Fourth Proportional to 4,357.44, 6,509.52 and 3,588.48

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Solution

The fourth proportional to 4,357.44, 6,509.52 and 3,588.48 is: 5,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.44 : 6,509.52 = 3,588.48 : x
  2. Step 2: Convert to fraction form
    4,357.44/6,509.52 = 3,588.48/x
  3. Step 3: Cross multiply
    4,357.44x = 6,509.52 × 3,588.48
  4. Step 4: Simplify right side
    4,357.44x = 23,359,282.33
  5. Step 5: Solve for x
    x = 23,359,282.33/4,357.44
  6. Step 6: Final answer
    x = 5,360.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.