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Finding the Fourth Proportional to 4,553.68, 6,830.93 and 1,956.01

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Solution

The fourth proportional to 4,553.68, 6,830.93 and 1,956.01 is: 2,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.68 : 6,830.93 = 1,956.01 : x
  2. Step 2: Convert to fraction form
    4,553.68/6,830.93 = 1,956.01/x
  3. Step 3: Cross multiply
    4,553.68x = 6,830.93 × 1,956.01
  4. Step 4: Simplify right side
    4,553.68x = 13,361,367.39
  5. Step 5: Solve for x
    x = 13,361,367.39/4,553.68
  6. Step 6: Final answer
    x = 2,934.19

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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.