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Finding the Fourth Proportional to 4,697.82, 6,476.40 and 3,354.12

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Solution

The fourth proportional to 4,697.82, 6,476.40 and 3,354.12 is: 4,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.82 : 6,476.40 = 3,354.12 : x
  2. Step 2: Convert to fraction form
    4,697.82/6,476.40 = 3,354.12/x
  3. Step 3: Cross multiply
    4,697.82x = 6,476.40 × 3,354.12
  4. Step 4: Simplify right side
    4,697.82x = 21,722,622.77
  5. Step 5: Solve for x
    x = 21,722,622.77/4,697.82
  6. Step 6: Final answer
    x = 4,623.98

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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.