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Finding the Fourth Proportional to 4,364.32, 6,546.48 and 2,056

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Solution

The fourth proportional to 4,364.32, 6,546.48 and 2,056 is: 3,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.32 : 6,546.48 = 2,056 : x
  2. Step 2: Convert to fraction form
    4,364.32/6,546.48 = 2,056/x
  3. Step 3: Cross multiply
    4,364.32x = 6,546.48 × 2,056
  4. Step 4: Simplify right side
    4,364.32x = 13,459,562.88
  5. Step 5: Solve for x
    x = 13,459,562.88/4,364.32
  6. Step 6: Final answer
    x = 3,084

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.