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Finding the Fourth Proportional to 5,204.30, 7,800.16 and 3,008.51

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Solution

The fourth proportional to 5,204.30, 7,800.16 and 3,008.51 is: 4,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.30 : 7,800.16 = 3,008.51 : x
  2. Step 2: Convert to fraction form
    5,204.30/7,800.16 = 3,008.51/x
  3. Step 3: Cross multiply
    5,204.30x = 7,800.16 × 3,008.51
  4. Step 4: Simplify right side
    5,204.30x = 23,466,859.36
  5. Step 5: Solve for x
    x = 23,466,859.36/5,204.30
  6. Step 6: Final answer
    x = 4,509.13

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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.