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Finding the Fourth Proportional to 6,076.68, 8,386.16 and 3,424.28

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Solution

The fourth proportional to 6,076.68, 8,386.16 and 3,424.28 is: 4,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.68 : 8,386.16 = 3,424.28 : x
  2. Step 2: Convert to fraction form
    6,076.68/8,386.16 = 3,424.28/x
  3. Step 3: Cross multiply
    6,076.68x = 8,386.16 × 3,424.28
  4. Step 4: Simplify right side
    6,076.68x = 28,716,559.96
  5. Step 5: Solve for x
    x = 28,716,559.96/6,076.68
  6. Step 6: Final answer
    x = 4,725.70

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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.