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Finding the Fourth Proportional to 5,300.70, 7,953.75 and 2,183.10

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Solution

The fourth proportional to 5,300.70, 7,953.75 and 2,183.10 is: 3,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.70 : 7,953.75 = 2,183.10 : x
  2. Step 2: Convert to fraction form
    5,300.70/7,953.75 = 2,183.10/x
  3. Step 3: Cross multiply
    5,300.70x = 7,953.75 × 2,183.10
  4. Step 4: Simplify right side
    5,300.70x = 17,363,831.63
  5. Step 5: Solve for x
    x = 17,363,831.63/5,300.70
  6. Step 6: Final answer
    x = 3,275.76

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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.