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Finding the Fourth Proportional to 3,507.76, 4,815.28 and 3,474.96

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Solution

The fourth proportional to 3,507.76, 4,815.28 and 3,474.96 is: 4,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.76 : 4,815.28 = 3,474.96 : x
  2. Step 2: Convert to fraction form
    3,507.76/4,815.28 = 3,474.96/x
  3. Step 3: Cross multiply
    3,507.76x = 4,815.28 × 3,474.96
  4. Step 4: Simplify right side
    3,507.76x = 16,732,905.39
  5. Step 5: Solve for x
    x = 16,732,905.39/3,507.76
  6. Step 6: Final answer
    x = 4,770.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.