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Finding the Fourth Proportional to 5,325.57, 7,350 and 3,057.81

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Solution

The fourth proportional to 5,325.57, 7,350 and 3,057.81 is: 4,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.57 : 7,350 = 3,057.81 : x
  2. Step 2: Convert to fraction form
    5,325.57/7,350 = 3,057.81/x
  3. Step 3: Cross multiply
    5,325.57x = 7,350 × 3,057.81
  4. Step 4: Simplify right side
    5,325.57x = 22,474,903.50
  5. Step 5: Solve for x
    x = 22,474,903.50/5,325.57
  6. Step 6: Final answer
    x = 4,220.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.