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Finding the Fourth Proportional to 5,824.64, 8,720.22 and 5,414.58

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Solution

The fourth proportional to 5,824.64, 8,720.22 and 5,414.58 is: 8,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.64 : 8,720.22 = 5,414.58 : x
  2. Step 2: Convert to fraction form
    5,824.64/8,720.22 = 5,414.58/x
  3. Step 3: Cross multiply
    5,824.64x = 8,720.22 × 5,414.58
  4. Step 4: Simplify right side
    5,824.64x = 47,216,328.81
  5. Step 5: Solve for x
    x = 47,216,328.81/5,824.64
  6. Step 6: Final answer
    x = 8,106.31

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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.