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Finding the Fourth Proportional to 4,770.72, 7,159.50 and 3,534.41

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Solution

The fourth proportional to 4,770.72, 7,159.50 and 3,534.41 is: 5,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.72 : 7,159.50 = 3,534.41 : x
  2. Step 2: Convert to fraction form
    4,770.72/7,159.50 = 3,534.41/x
  3. Step 3: Cross multiply
    4,770.72x = 7,159.50 × 3,534.41
  4. Step 4: Simplify right side
    4,770.72x = 25,304,559.34
  5. Step 5: Solve for x
    x = 25,304,559.34/4,770.72
  6. Step 6: Final answer
    x = 5,304.14

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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.