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Finding the Fourth Proportional to 5,250.10, 7,242.84 and 3,153

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Solution

The fourth proportional to 5,250.10, 7,242.84 and 3,153 is: 4,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.10 : 7,242.84 = 3,153 : x
  2. Step 2: Convert to fraction form
    5,250.10/7,242.84 = 3,153/x
  3. Step 3: Cross multiply
    5,250.10x = 7,242.84 × 3,153
  4. Step 4: Simplify right side
    5,250.10x = 22,836,674.52
  5. Step 5: Solve for x
    x = 22,836,674.52/5,250.10
  6. Step 6: Final answer
    x = 4,349.76

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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.