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Finding the Fourth Proportional to 6,340.75, 8,750.64 and 3,546.25

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Solution

The fourth proportional to 6,340.75, 8,750.64 and 3,546.25 is: 4,894.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.75 : 8,750.64 = 3,546.25 : x
  2. Step 2: Convert to fraction form
    6,340.75/8,750.64 = 3,546.25/x
  3. Step 3: Cross multiply
    6,340.75x = 8,750.64 × 3,546.25
  4. Step 4: Simplify right side
    6,340.75x = 31,031,957.10
  5. Step 5: Solve for x
    x = 31,031,957.10/6,340.75
  6. Step 6: Final answer
    x = 4,894.05

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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.