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Finding the Fourth Proportional to 5,025.84, 7,539.84 and 1,563

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Solution

The fourth proportional to 5,025.84, 7,539.84 and 1,563 is: 2,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,025.84 : 7,539.84 = 1,563 : x
  2. Step 2: Convert to fraction form
    5,025.84/7,539.84 = 1,563/x
  3. Step 3: Cross multiply
    5,025.84x = 7,539.84 × 1,563
  4. Step 4: Simplify right side
    5,025.84x = 11,784,769.92
  5. Step 5: Solve for x
    x = 11,784,769.92/5,025.84
  6. Step 6: Final answer
    x = 2,344.84

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Why These Related Problems?

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