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Finding the Fourth Proportional to 4,562.90, 6,840.70 and 4,198.40

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Solution

The fourth proportional to 4,562.90, 6,840.70 and 4,198.40 is: 6,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.90 : 6,840.70 = 4,198.40 : x
  2. Step 2: Convert to fraction form
    4,562.90/6,840.70 = 4,198.40/x
  3. Step 3: Cross multiply
    4,562.90x = 6,840.70 × 4,198.40
  4. Step 4: Simplify right side
    4,562.90x = 28,719,994.88
  5. Step 5: Solve for x
    x = 28,719,994.88/4,562.90
  6. Step 6: Final answer
    x = 6,294.24

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