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Finding the Fourth Proportional to 6,096.32, 8,412.52 and 3,444

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Solution

The fourth proportional to 6,096.32, 8,412.52 and 3,444 is: 4,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.32 : 8,412.52 = 3,444 : x
  2. Step 2: Convert to fraction form
    6,096.32/8,412.52 = 3,444/x
  3. Step 3: Cross multiply
    6,096.32x = 8,412.52 × 3,444
  4. Step 4: Simplify right side
    6,096.32x = 28,972,718.88
  5. Step 5: Solve for x
    x = 28,972,718.88/6,096.32
  6. Step 6: Final answer
    x = 4,752.49

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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.