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Finding the Fourth Proportional to 4,676.40, 6,454.80 and 2,688.30

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Solution

The fourth proportional to 4,676.40, 6,454.80 and 2,688.30 is: 3,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.40 : 6,454.80 = 2,688.30 : x
  2. Step 2: Convert to fraction form
    4,676.40/6,454.80 = 2,688.30/x
  3. Step 3: Cross multiply
    4,676.40x = 6,454.80 × 2,688.30
  4. Step 4: Simplify right side
    4,676.40x = 17,352,438.84
  5. Step 5: Solve for x
    x = 17,352,438.84/4,676.40
  6. Step 6: Final answer
    x = 3,710.64

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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.