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Finding the Fourth Proportional to 4,143.08, 6,214.90 and 1,546

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Solution

The fourth proportional to 4,143.08, 6,214.90 and 1,546 is: 2,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.08 : 6,214.90 = 1,546 : x
  2. Step 2: Convert to fraction form
    4,143.08/6,214.90 = 1,546/x
  3. Step 3: Cross multiply
    4,143.08x = 6,214.90 × 1,546
  4. Step 4: Simplify right side
    4,143.08x = 9,608,235.40
  5. Step 5: Solve for x
    x = 9,608,235.40/4,143.08
  6. Step 6: Final answer
    x = 2,319.10

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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.