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Finding the Fourth Proportional to 5,770.95, 7,964.73 and 3,532.44

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Solution

The fourth proportional to 5,770.95, 7,964.73 and 3,532.44 is: 4,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.95 : 7,964.73 = 3,532.44 : x
  2. Step 2: Convert to fraction form
    5,770.95/7,964.73 = 3,532.44/x
  3. Step 3: Cross multiply
    5,770.95x = 7,964.73 × 3,532.44
  4. Step 4: Simplify right side
    5,770.95x = 28,134,960.71
  5. Step 5: Solve for x
    x = 28,134,960.71/5,770.95
  6. Step 6: Final answer
    x = 4,875.28

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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.