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Finding the Fourth Proportional to 5,782.81, 8,672.64 and 1,622.56

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Solution

The fourth proportional to 5,782.81, 8,672.64 and 1,622.56 is: 2,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.81 : 8,672.64 = 1,622.56 : x
  2. Step 2: Convert to fraction form
    5,782.81/8,672.64 = 1,622.56/x
  3. Step 3: Cross multiply
    5,782.81x = 8,672.64 × 1,622.56
  4. Step 4: Simplify right side
    5,782.81x = 14,071,878.76
  5. Step 5: Solve for x
    x = 14,071,878.76/5,782.81
  6. Step 6: Final answer
    x = 2,433.40

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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.