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Finding the Fourth Proportional to 4,627.58, 6,381.87 and 3,957.90

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Solution

The fourth proportional to 4,627.58, 6,381.87 and 3,957.90 is: 5,458.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.58 : 6,381.87 = 3,957.90 : x
  2. Step 2: Convert to fraction form
    4,627.58/6,381.87 = 3,957.90/x
  3. Step 3: Cross multiply
    4,627.58x = 6,381.87 × 3,957.90
  4. Step 4: Simplify right side
    4,627.58x = 25,258,803.27
  5. Step 5: Solve for x
    x = 25,258,803.27/4,627.58
  6. Step 6: Final answer
    x = 5,458.32

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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.