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Finding the Fourth Proportional to 5,872.47, 8,849.99 and 5,288.13

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Solution

The fourth proportional to 5,872.47, 8,849.99 and 5,288.13 is: 7,969.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.47 : 8,849.99 = 5,288.13 : x
  2. Step 2: Convert to fraction form
    5,872.47/8,849.99 = 5,288.13/x
  3. Step 3: Cross multiply
    5,872.47x = 8,849.99 × 5,288.13
  4. Step 4: Simplify right side
    5,872.47x = 46,799,910.84
  5. Step 5: Solve for x
    x = 46,799,910.84/5,872.47
  6. Step 6: Final answer
    x = 7,969.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.