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Finding the Fourth Proportional to 5,493.24, 7,580.86 and 3,009.24

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Solution

The fourth proportional to 5,493.24, 7,580.86 and 3,009.24 is: 4,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.24 : 7,580.86 = 3,009.24 : x
  2. Step 2: Convert to fraction form
    5,493.24/7,580.86 = 3,009.24/x
  3. Step 3: Cross multiply
    5,493.24x = 7,580.86 × 3,009.24
  4. Step 4: Simplify right side
    5,493.24x = 22,812,627.15
  5. Step 5: Solve for x
    x = 22,812,627.15/5,493.24
  6. Step 6: Final answer
    x = 4,152.85

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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.