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Finding the Fourth Proportional to 4,568.22, 6,304.16 and 2,472.34

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Solution

The fourth proportional to 4,568.22, 6,304.16 and 2,472.34 is: 3,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.22 : 6,304.16 = 2,472.34 : x
  2. Step 2: Convert to fraction form
    4,568.22/6,304.16 = 2,472.34/x
  3. Step 3: Cross multiply
    4,568.22x = 6,304.16 × 2,472.34
  4. Step 4: Simplify right side
    4,568.22x = 15,586,026.93
  5. Step 5: Solve for x
    x = 15,586,026.93/4,568.22
  6. Step 6: Final answer
    x = 3,411.84

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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.