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Finding the Fourth Proportional to 5,582.44, 8,407.09 and 5,084.21

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Solution

The fourth proportional to 5,582.44, 8,407.09 and 5,084.21 is: 7,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.44 : 8,407.09 = 5,084.21 : x
  2. Step 2: Convert to fraction form
    5,582.44/8,407.09 = 5,084.21/x
  3. Step 3: Cross multiply
    5,582.44x = 8,407.09 × 5,084.21
  4. Step 4: Simplify right side
    5,582.44x = 42,743,411.05
  5. Step 5: Solve for x
    x = 42,743,411.05/5,582.44
  6. Step 6: Final answer
    x = 7,656.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.