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Finding the Fourth Proportional to 5,845.86, 8,775.68 and 4,614.12

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Solution

The fourth proportional to 5,845.86, 8,775.68 and 4,614.12 is: 6,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.86 : 8,775.68 = 4,614.12 : x
  2. Step 2: Convert to fraction form
    5,845.86/8,775.68 = 4,614.12/x
  3. Step 3: Cross multiply
    5,845.86x = 8,775.68 × 4,614.12
  4. Step 4: Simplify right side
    5,845.86x = 40,492,017.53
  5. Step 5: Solve for x
    x = 40,492,017.53/5,845.86
  6. Step 6: Final answer
    x = 6,926.61

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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.