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Finding the Fourth Proportional to 4,133.94, 6,199.26 and 1,536

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Solution

The fourth proportional to 4,133.94, 6,199.26 and 1,536 is: 2,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.94 : 6,199.26 = 1,536 : x
  2. Step 2: Convert to fraction form
    4,133.94/6,199.26 = 1,536/x
  3. Step 3: Cross multiply
    4,133.94x = 6,199.26 × 1,536
  4. Step 4: Simplify right side
    4,133.94x = 9,522,063.36
  5. Step 5: Solve for x
    x = 9,522,063.36/4,133.94
  6. Step 6: Final answer
    x = 2,303.39

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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.