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Finding the Fourth Proportional to 5,626.98, 8,440.54 and 5,284.50

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Solution

The fourth proportional to 5,626.98, 8,440.54 and 5,284.50 is: 7,926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.98 : 8,440.54 = 5,284.50 : x
  2. Step 2: Convert to fraction form
    5,626.98/8,440.54 = 5,284.50/x
  3. Step 3: Cross multiply
    5,626.98x = 8,440.54 × 5,284.50
  4. Step 4: Simplify right side
    5,626.98x = 44,604,033.63
  5. Step 5: Solve for x
    x = 44,604,033.63/5,626.98
  6. Step 6: Final answer
    x = 7,926.82

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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.