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Finding the Fourth Proportional to 5,504.68, 8,252.16 and 2,039.50

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Solution

The fourth proportional to 5,504.68, 8,252.16 and 2,039.50 is: 3,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.68 : 8,252.16 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    5,504.68/8,252.16 = 2,039.50/x
  3. Step 3: Cross multiply
    5,504.68x = 8,252.16 × 2,039.50
  4. Step 4: Simplify right side
    5,504.68x = 16,830,280.32
  5. Step 5: Solve for x
    x = 16,830,280.32/5,504.68
  6. Step 6: Final answer
    x = 3,057.45

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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.