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Finding the Fourth Proportional to 5,821.95, 8,738.42 and 3,875.52

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Solution

The fourth proportional to 5,821.95, 8,738.42 and 3,875.52 is: 5,816.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.95 : 8,738.42 = 3,875.52 : x
  2. Step 2: Convert to fraction form
    5,821.95/8,738.42 = 3,875.52/x
  3. Step 3: Cross multiply
    5,821.95x = 8,738.42 × 3,875.52
  4. Step 4: Simplify right side
    5,821.95x = 33,865,921.48
  5. Step 5: Solve for x
    x = 33,865,921.48/5,821.95
  6. Step 6: Final answer
    x = 5,816.94

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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.