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Finding the Fourth Proportional to 5,160.48, 7,734.96 and 2,234.40

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Solution

The fourth proportional to 5,160.48, 7,734.96 and 2,234.40 is: 3,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160.48 : 7,734.96 = 2,234.40 : x
  2. Step 2: Convert to fraction form
    5,160.48/7,734.96 = 2,234.40/x
  3. Step 3: Cross multiply
    5,160.48x = 7,734.96 × 2,234.40
  4. Step 4: Simplify right side
    5,160.48x = 17,282,994.62
  5. Step 5: Solve for x
    x = 17,282,994.62/5,160.48
  6. Step 6: Final answer
    x = 3,349.11

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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.