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Finding the Fourth Proportional to 5,601.58, 7,733.28 and 3,364

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Solution

The fourth proportional to 5,601.58, 7,733.28 and 3,364 is: 4,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.58 : 7,733.28 = 3,364 : x
  2. Step 2: Convert to fraction form
    5,601.58/7,733.28 = 3,364/x
  3. Step 3: Cross multiply
    5,601.58x = 7,733.28 × 3,364
  4. Step 4: Simplify right side
    5,601.58x = 26,014,753.92
  5. Step 5: Solve for x
    x = 26,014,753.92/5,601.58
  6. Step 6: Final answer
    x = 4,644.18

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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.