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Finding the Fourth Proportional to 5,601.66, 7,730.80 and 3,084.28

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Solution

The fourth proportional to 5,601.66, 7,730.80 and 3,084.28 is: 4,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.66 : 7,730.80 = 3,084.28 : x
  2. Step 2: Convert to fraction form
    5,601.66/7,730.80 = 3,084.28/x
  3. Step 3: Cross multiply
    5,601.66x = 7,730.80 × 3,084.28
  4. Step 4: Simplify right side
    5,601.66x = 23,843,933.46
  5. Step 5: Solve for x
    x = 23,843,933.46/5,601.66
  6. Step 6: Final answer
    x = 4,256.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.