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Finding the Fourth Proportional to 5,105.76, 7,048.80 and 4,094.88

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Solution

The fourth proportional to 5,105.76, 7,048.80 and 4,094.88 is: 5,653.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.76 : 7,048.80 = 4,094.88 : x
  2. Step 2: Convert to fraction form
    5,105.76/7,048.80 = 4,094.88/x
  3. Step 3: Cross multiply
    5,105.76x = 7,048.80 × 4,094.88
  4. Step 4: Simplify right side
    5,105.76x = 28,863,990.14
  5. Step 5: Solve for x
    x = 28,863,990.14/5,105.76
  6. Step 6: Final answer
    x = 5,653.22

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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.