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Finding the Fourth Proportional to 4,560.90, 6,837.70 and 4,196.40

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Solution

The fourth proportional to 4,560.90, 6,837.70 and 4,196.40 is: 6,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.90 : 6,837.70 = 4,196.40 : x
  2. Step 2: Convert to fraction form
    4,560.90/6,837.70 = 4,196.40/x
  3. Step 3: Cross multiply
    4,560.90x = 6,837.70 × 4,196.40
  4. Step 4: Simplify right side
    4,560.90x = 28,693,724.28
  5. Step 5: Solve for x
    x = 28,693,724.28/4,560.90
  6. Step 6: Final answer
    x = 6,291.24

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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.