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Finding the Fourth Proportional to 4,199.28, 5,794.76 and 2,430.76

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Solution

The fourth proportional to 4,199.28, 5,794.76 and 2,430.76 is: 3,354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.28 : 5,794.76 = 2,430.76 : x
  2. Step 2: Convert to fraction form
    4,199.28/5,794.76 = 2,430.76/x
  3. Step 3: Cross multiply
    4,199.28x = 5,794.76 × 2,430.76
  4. Step 4: Simplify right side
    4,199.28x = 14,085,670.82
  5. Step 5: Solve for x
    x = 14,085,670.82/4,199.28
  6. Step 6: Final answer
    x = 3,354.31

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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.