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Finding the Fourth Proportional to 4,689.39, 7,048.68 and 4,674.81

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Solution

The fourth proportional to 4,689.39, 7,048.68 and 4,674.81 is: 7,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.39 : 7,048.68 = 4,674.81 : x
  2. Step 2: Convert to fraction form
    4,689.39/7,048.68 = 4,674.81/x
  3. Step 3: Cross multiply
    4,689.39x = 7,048.68 × 4,674.81
  4. Step 4: Simplify right side
    4,689.39x = 32,951,239.75
  5. Step 5: Solve for x
    x = 32,951,239.75/4,689.39
  6. Step 6: Final answer
    x = 7,026.76

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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.