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Finding the Fourth Proportional to 4,097.34, 5,652.54 and 2,524.50

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Solution

The fourth proportional to 4,097.34, 5,652.54 and 2,524.50 is: 3,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.34 : 5,652.54 = 2,524.50 : x
  2. Step 2: Convert to fraction form
    4,097.34/5,652.54 = 2,524.50/x
  3. Step 3: Cross multiply
    4,097.34x = 5,652.54 × 2,524.50
  4. Step 4: Simplify right side
    4,097.34x = 14,269,837.23
  5. Step 5: Solve for x
    x = 14,269,837.23/4,097.34
  6. Step 6: Final answer
    x = 3,482.71

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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.