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Finding the Fourth Proportional to 4,669.56, 6,430.32 and 4,039.20

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Solution

The fourth proportional to 4,669.56, 6,430.32 and 4,039.20 is: 5,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.56 : 6,430.32 = 4,039.20 : x
  2. Step 2: Convert to fraction form
    4,669.56/6,430.32 = 4,039.20/x
  3. Step 3: Cross multiply
    4,669.56x = 6,430.32 × 4,039.20
  4. Step 4: Simplify right side
    4,669.56x = 25,973,348.54
  5. Step 5: Solve for x
    x = 25,973,348.54/4,669.56
  6. Step 6: Final answer
    x = 5,562.27

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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.