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Finding the Fourth Proportional to 4,376.86, 6,563.10 and 1,454.14

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Solution

The fourth proportional to 4,376.86, 6,563.10 and 1,454.14 is: 2,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.86 : 6,563.10 = 1,454.14 : x
  2. Step 2: Convert to fraction form
    4,376.86/6,563.10 = 1,454.14/x
  3. Step 3: Cross multiply
    4,376.86x = 6,563.10 × 1,454.14
  4. Step 4: Simplify right side
    4,376.86x = 9,543,666.23
  5. Step 5: Solve for x
    x = 9,543,666.23/4,376.86
  6. Step 6: Final answer
    x = 2,180.48

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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.