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Finding the Fourth Proportional to 4,153.76, 5,734.32 and 3,405.92

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Solution

The fourth proportional to 4,153.76, 5,734.32 and 3,405.92 is: 4,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.76 : 5,734.32 = 3,405.92 : x
  2. Step 2: Convert to fraction form
    4,153.76/5,734.32 = 3,405.92/x
  3. Step 3: Cross multiply
    4,153.76x = 5,734.32 × 3,405.92
  4. Step 4: Simplify right side
    4,153.76x = 19,530,635.17
  5. Step 5: Solve for x
    x = 19,530,635.17/4,153.76
  6. Step 6: Final answer
    x = 4,701.92

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1.5x scale

Why These Related Problems?

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