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Finding the Fourth Proportional to 6,225.12, 8,584.56 and 4,206.24

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Solution

The fourth proportional to 6,225.12, 8,584.56 and 4,206.24 is: 5,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.12 : 8,584.56 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    6,225.12/8,584.56 = 4,206.24/x
  3. Step 3: Cross multiply
    6,225.12x = 8,584.56 × 4,206.24
  4. Step 4: Simplify right side
    6,225.12x = 36,108,719.65
  5. Step 5: Solve for x
    x = 36,108,719.65/6,225.12
  6. Step 6: Final answer
    x = 5,800.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.