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Finding the Fourth Proportional to 5,546.64, 7,648.92 and 4,706.40

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Solution

The fourth proportional to 5,546.64, 7,648.92 and 4,706.40 is: 6,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.64 : 7,648.92 = 4,706.40 : x
  2. Step 2: Convert to fraction form
    5,546.64/7,648.92 = 4,706.40/x
  3. Step 3: Cross multiply
    5,546.64x = 7,648.92 × 4,706.40
  4. Step 4: Simplify right side
    5,546.64x = 35,998,877.09
  5. Step 5: Solve for x
    x = 35,998,877.09/5,546.64
  6. Step 6: Final answer
    x = 6,490.21

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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.