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Finding the Fourth Proportional to 6,141.25, 8,477.52 and 4,154.50

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Solution

The fourth proportional to 6,141.25, 8,477.52 and 4,154.50 is: 5,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.25 : 8,477.52 = 4,154.50 : x
  2. Step 2: Convert to fraction form
    6,141.25/8,477.52 = 4,154.50/x
  3. Step 3: Cross multiply
    6,141.25x = 8,477.52 × 4,154.50
  4. Step 4: Simplify right side
    6,141.25x = 35,219,856.84
  5. Step 5: Solve for x
    x = 35,219,856.84/6,141.25
  6. Step 6: Final answer
    x = 5,734.97

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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.