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Finding the Fourth Proportional to 4,708.28, 6,499.82 and 3,643.64

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Solution

The fourth proportional to 4,708.28, 6,499.82 and 3,643.64 is: 5,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.28 : 6,499.82 = 3,643.64 : x
  2. Step 2: Convert to fraction form
    4,708.28/6,499.82 = 3,643.64/x
  3. Step 3: Cross multiply
    4,708.28x = 6,499.82 × 3,643.64
  4. Step 4: Simplify right side
    4,708.28x = 23,682,953.43
  5. Step 5: Solve for x
    x = 23,682,953.43/4,708.28
  6. Step 6: Final answer
    x = 5,030.07

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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.