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Finding the Fourth Proportional to 4,666.49, 7,000.43 and 1,705.08

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Solution

The fourth proportional to 4,666.49, 7,000.43 and 1,705.08 is: 2,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.49 : 7,000.43 = 1,705.08 : x
  2. Step 2: Convert to fraction form
    4,666.49/7,000.43 = 1,705.08/x
  3. Step 3: Cross multiply
    4,666.49x = 7,000.43 × 1,705.08
  4. Step 4: Simplify right side
    4,666.49x = 11,936,310.91
  5. Step 5: Solve for x
    x = 11,936,310.91/4,666.49
  6. Step 6: Final answer
    x = 2,557.88

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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.