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Finding the Fourth Proportional to 5,152.55, 7,732.26 and 4,734.32

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Solution

The fourth proportional to 5,152.55, 7,732.26 and 4,734.32 is: 7,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.55 : 7,732.26 = 4,734.32 : x
  2. Step 2: Convert to fraction form
    5,152.55/7,732.26 = 4,734.32/x
  3. Step 3: Cross multiply
    5,152.55x = 7,732.26 × 4,734.32
  4. Step 4: Simplify right side
    5,152.55x = 36,606,954.50
  5. Step 5: Solve for x
    x = 36,606,954.50/5,152.55
  6. Step 6: Final answer
    x = 7,104.64

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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.