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Finding the Fourth Proportional to 5,678.79, 7,834.23 and 3,788.58

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Solution

The fourth proportional to 5,678.79, 7,834.23 and 3,788.58 is: 5,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.79 : 7,834.23 = 3,788.58 : x
  2. Step 2: Convert to fraction form
    5,678.79/7,834.23 = 3,788.58/x
  3. Step 3: Cross multiply
    5,678.79x = 7,834.23 × 3,788.58
  4. Step 4: Simplify right side
    5,678.79x = 29,680,607.09
  5. Step 5: Solve for x
    x = 29,680,607.09/5,678.79
  6. Step 6: Final answer
    x = 5,226.57

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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.