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Finding the Fourth Proportional to 5,964.79, 8,225.40 and 4,638.01

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Solution

The fourth proportional to 5,964.79, 8,225.40 and 4,638.01 is: 6,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.79 : 8,225.40 = 4,638.01 : x
  2. Step 2: Convert to fraction form
    5,964.79/8,225.40 = 4,638.01/x
  3. Step 3: Cross multiply
    5,964.79x = 8,225.40 × 4,638.01
  4. Step 4: Simplify right side
    5,964.79x = 38,149,487.45
  5. Step 5: Solve for x
    x = 38,149,487.45/5,964.79
  6. Step 6: Final answer
    x = 6,395.78

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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.