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Finding the Fourth Proportional to 3,482.48, 5,224.98 and 1,536.06

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Solution

The fourth proportional to 3,482.48, 5,224.98 and 1,536.06 is: 2,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.48 : 5,224.98 = 1,536.06 : x
  2. Step 2: Convert to fraction form
    3,482.48/5,224.98 = 1,536.06/x
  3. Step 3: Cross multiply
    3,482.48x = 5,224.98 × 1,536.06
  4. Step 4: Simplify right side
    3,482.48x = 8,025,882.78
  5. Step 5: Solve for x
    x = 8,025,882.78/3,482.48
  6. Step 6: Final answer
    x = 2,304.65

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