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Finding the Fourth Proportional to 5,432.54, 8,148.73 and 1,734.72

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Solution

The fourth proportional to 5,432.54, 8,148.73 and 1,734.72 is: 2,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.54 : 8,148.73 = 1,734.72 : x
  2. Step 2: Convert to fraction form
    5,432.54/8,148.73 = 1,734.72/x
  3. Step 3: Cross multiply
    5,432.54x = 8,148.73 × 1,734.72
  4. Step 4: Simplify right side
    5,432.54x = 14,135,724.16
  5. Step 5: Solve for x
    x = 14,135,724.16/5,432.54
  6. Step 6: Final answer
    x = 2,602.05

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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.