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Finding the Fourth Proportional to 4,189.92, 5,782.05 and 2,421.42

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Solution

The fourth proportional to 4,189.92, 5,782.05 and 2,421.42 is: 3,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.92 : 5,782.05 = 2,421.42 : x
  2. Step 2: Convert to fraction form
    4,189.92/5,782.05 = 2,421.42/x
  3. Step 3: Cross multiply
    4,189.92x = 5,782.05 × 2,421.42
  4. Step 4: Simplify right side
    4,189.92x = 14,000,771.51
  5. Step 5: Solve for x
    x = 14,000,771.51/4,189.92
  6. Step 6: Final answer
    x = 3,341.54

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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.