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Finding the Fourth Proportional to 6,340.64, 8,750.32 and 3,546.16

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Solution

The fourth proportional to 6,340.64, 8,750.32 and 3,546.16 is: 4,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.64 : 8,750.32 = 3,546.16 : x
  2. Step 2: Convert to fraction form
    6,340.64/8,750.32 = 3,546.16/x
  3. Step 3: Cross multiply
    6,340.64x = 8,750.32 × 3,546.16
  4. Step 4: Simplify right side
    6,340.64x = 31,030,034.77
  5. Step 5: Solve for x
    x = 31,030,034.77/6,340.64
  6. Step 6: Final answer
    x = 4,893.83

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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.