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Finding the Fourth Proportional to 4,863.42, 6,704.70 and 3,442.88

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Solution

The fourth proportional to 4,863.42, 6,704.70 and 3,442.88 is: 4,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.42 : 6,704.70 = 3,442.88 : x
  2. Step 2: Convert to fraction form
    4,863.42/6,704.70 = 3,442.88/x
  3. Step 3: Cross multiply
    4,863.42x = 6,704.70 × 3,442.88
  4. Step 4: Simplify right side
    4,863.42x = 23,083,477.54
  5. Step 5: Solve for x
    x = 23,083,477.54/4,863.42
  6. Step 6: Final answer
    x = 4,746.35

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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.