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Finding the Fourth Proportional to 4,292.96, 5,928.06 and 4,153.52

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Solution

The fourth proportional to 4,292.96, 5,928.06 and 4,153.52 is: 5,735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.96 : 5,928.06 = 4,153.52 : x
  2. Step 2: Convert to fraction form
    4,292.96/5,928.06 = 4,153.52/x
  3. Step 3: Cross multiply
    4,292.96x = 5,928.06 × 4,153.52
  4. Step 4: Simplify right side
    4,292.96x = 24,622,315.77
  5. Step 5: Solve for x
    x = 24,622,315.77/4,292.96
  6. Step 6: Final answer
    x = 5,735.51

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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.