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Finding the Fourth Proportional to 5,131.45, 7,697.48 and 1,621.57

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Solution

The fourth proportional to 5,131.45, 7,697.48 and 1,621.57 is: 2,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.45 : 7,697.48 = 1,621.57 : x
  2. Step 2: Convert to fraction form
    5,131.45/7,697.48 = 1,621.57/x
  3. Step 3: Cross multiply
    5,131.45x = 7,697.48 × 1,621.57
  4. Step 4: Simplify right side
    5,131.45x = 12,482,002.64
  5. Step 5: Solve for x
    x = 12,482,002.64/5,131.45
  6. Step 6: Final answer
    x = 2,432.45

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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.