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Finding the Fourth Proportional to 4,646.28, 6,974.34 and 4,541.88

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Solution

The fourth proportional to 4,646.28, 6,974.34 and 4,541.88 is: 6,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.28 : 6,974.34 = 4,541.88 : x
  2. Step 2: Convert to fraction form
    4,646.28/6,974.34 = 4,541.88/x
  3. Step 3: Cross multiply
    4,646.28x = 6,974.34 × 4,541.88
  4. Step 4: Simplify right side
    4,646.28x = 31,676,615.36
  5. Step 5: Solve for x
    x = 31,676,615.36/4,646.28
  6. Step 6: Final answer
    x = 6,817.63

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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.