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Finding the Fourth Proportional to 5,798.96, 8,697.36 and 2,678.84

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Solution

The fourth proportional to 5,798.96, 8,697.36 and 2,678.84 is: 4,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.96 : 8,697.36 = 2,678.84 : x
  2. Step 2: Convert to fraction form
    5,798.96/8,697.36 = 2,678.84/x
  3. Step 3: Cross multiply
    5,798.96x = 8,697.36 × 2,678.84
  4. Step 4: Simplify right side
    5,798.96x = 23,298,835.86
  5. Step 5: Solve for x
    x = 23,298,835.86/5,798.96
  6. Step 6: Final answer
    x = 4,017.76

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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.