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Finding the Fourth Proportional to 5,208.48, 7,803.99 and 5,006.16

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Solution

The fourth proportional to 5,208.48, 7,803.99 and 5,006.16 is: 7,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.48 : 7,803.99 = 5,006.16 : x
  2. Step 2: Convert to fraction form
    5,208.48/7,803.99 = 5,006.16/x
  3. Step 3: Cross multiply
    5,208.48x = 7,803.99 × 5,006.16
  4. Step 4: Simplify right side
    5,208.48x = 39,068,022.58
  5. Step 5: Solve for x
    x = 39,068,022.58/5,208.48
  6. Step 6: Final answer
    x = 7,500.85

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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.