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Finding the Fourth Proportional to 5,405.52, 7,455.80 and 5,224.88

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Solution

The fourth proportional to 5,405.52, 7,455.80 and 5,224.88 is: 7,206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.52 : 7,455.80 = 5,224.88 : x
  2. Step 2: Convert to fraction form
    5,405.52/7,455.80 = 5,224.88/x
  3. Step 3: Cross multiply
    5,405.52x = 7,455.80 × 5,224.88
  4. Step 4: Simplify right side
    5,405.52x = 38,955,660.30
  5. Step 5: Solve for x
    x = 38,955,660.30/5,405.52
  6. Step 6: Final answer
    x = 7,206.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.