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Finding the Fourth Proportional to 5,528.00, 8,292 and 1,635.14

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Solution

The fourth proportional to 5,528.00, 8,292 and 1,635.14 is: 2,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,528.00 : 8,292 = 1,635.14 : x
  2. Step 2: Convert to fraction form
    5,528.00/8,292 = 1,635.14/x
  3. Step 3: Cross multiply
    5,528.00x = 8,292 × 1,635.14
  4. Step 4: Simplify right side
    5,528.00x = 13,558,539.42
  5. Step 5: Solve for x
    x = 13,558,539.42/5,528.00
  6. Step 6: Final answer
    x = 2,452.70

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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.