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Finding the Fourth Proportional to 5,434.50, 8,126.83 and 4,048.78

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Solution

The fourth proportional to 5,434.50, 8,126.83 and 4,048.78 is: 6,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.50 : 8,126.83 = 4,048.78 : x
  2. Step 2: Convert to fraction form
    5,434.50/8,126.83 = 4,048.78/x
  3. Step 3: Cross multiply
    5,434.50x = 8,126.83 × 4,048.78
  4. Step 4: Simplify right side
    5,434.50x = 32,903,746.77
  5. Step 5: Solve for x
    x = 32,903,746.77/5,434.50
  6. Step 6: Final answer
    x = 6,054.60

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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.