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Finding the Fourth Proportional to 3,496.34, 4,825.10 and 1,924.54

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Solution

The fourth proportional to 3,496.34, 4,825.10 and 1,924.54 is: 2,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.34 : 4,825.10 = 1,924.54 : x
  2. Step 2: Convert to fraction form
    3,496.34/4,825.10 = 1,924.54/x
  3. Step 3: Cross multiply
    3,496.34x = 4,825.10 × 1,924.54
  4. Step 4: Simplify right side
    3,496.34x = 9,286,097.95
  5. Step 5: Solve for x
    x = 9,286,097.95/3,496.34
  6. Step 6: Final answer
    x = 2,655.95

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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.