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Finding the Fourth Proportional to 4,199.36, 6,300 and 2,006.24

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Solution

The fourth proportional to 4,199.36, 6,300 and 2,006.24 is: 3,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.36 : 6,300 = 2,006.24 : x
  2. Step 2: Convert to fraction form
    4,199.36/6,300 = 2,006.24/x
  3. Step 3: Cross multiply
    4,199.36x = 6,300 × 2,006.24
  4. Step 4: Simplify right side
    4,199.36x = 12,639,312
  5. Step 5: Solve for x
    x = 12,639,312/4,199.36
  6. Step 6: Final answer
    x = 3,009.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.