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Finding the Fourth Proportional to 4,609.08, 6,913.79 and 1,322.21

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Solution

The fourth proportional to 4,609.08, 6,913.79 and 1,322.21 is: 1,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.08 : 6,913.79 = 1,322.21 : x
  2. Step 2: Convert to fraction form
    4,609.08/6,913.79 = 1,322.21/x
  3. Step 3: Cross multiply
    4,609.08x = 6,913.79 × 1,322.21
  4. Step 4: Simplify right side
    4,609.08x = 9,141,441.10
  5. Step 5: Solve for x
    x = 9,141,441.10/4,609.08
  6. Step 6: Final answer
    x = 1,983.35

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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.