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Finding the Fourth Proportional to 5,697.54, 8,534.97 and 3,510.54

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Solution

The fourth proportional to 5,697.54, 8,534.97 and 3,510.54 is: 5,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.54 : 8,534.97 = 3,510.54 : x
  2. Step 2: Convert to fraction form
    5,697.54/8,534.97 = 3,510.54/x
  3. Step 3: Cross multiply
    5,697.54x = 8,534.97 × 3,510.54
  4. Step 4: Simplify right side
    5,697.54x = 29,962,353.58
  5. Step 5: Solve for x
    x = 29,962,353.58/5,697.54
  6. Step 6: Final answer
    x = 5,258.82

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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.