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Finding the Fourth Proportional to 4,568.16, 6,848.12 and 1,644.42

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Solution

The fourth proportional to 4,568.16, 6,848.12 and 1,644.42 is: 2,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.16 : 6,848.12 = 1,644.42 : x
  2. Step 2: Convert to fraction form
    4,568.16/6,848.12 = 1,644.42/x
  3. Step 3: Cross multiply
    4,568.16x = 6,848.12 × 1,644.42
  4. Step 4: Simplify right side
    4,568.16x = 11,261,185.49
  5. Step 5: Solve for x
    x = 11,261,185.49/4,568.16
  6. Step 6: Final answer
    x = 2,465.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.