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Finding the Fourth Proportional to 5,684.10, 7,820.73 and 5,552.88

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Solution

The fourth proportional to 5,684.10, 7,820.73 and 5,552.88 is: 7,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.10 : 7,820.73 = 5,552.88 : x
  2. Step 2: Convert to fraction form
    5,684.10/7,820.73 = 5,552.88/x
  3. Step 3: Cross multiply
    5,684.10x = 7,820.73 × 5,552.88
  4. Step 4: Simplify right side
    5,684.10x = 43,427,575.20
  5. Step 5: Solve for x
    x = 43,427,575.20/5,684.10
  6. Step 6: Final answer
    x = 7,640.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.