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Finding the Fourth Proportional to 3,875.28, 5,812.83 and 953.58

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Solution

The fourth proportional to 3,875.28, 5,812.83 and 953.58 is: 1,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.28 : 5,812.83 = 953.58 : x
  2. Step 2: Convert to fraction form
    3,875.28/5,812.83 = 953.58/x
  3. Step 3: Cross multiply
    3,875.28x = 5,812.83 × 953.58
  4. Step 4: Simplify right side
    3,875.28x = 5,542,998.43
  5. Step 5: Solve for x
    x = 5,542,998.43/3,875.28
  6. Step 6: Final answer
    x = 1,430.35

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1.5x scale

Why These Related Problems?

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