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Finding the Fourth Proportional to 4,666.62, 6,999.69 and 2,358.06

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Solution

The fourth proportional to 4,666.62, 6,999.69 and 2,358.06 is: 3,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.62 : 6,999.69 = 2,358.06 : x
  2. Step 2: Convert to fraction form
    4,666.62/6,999.69 = 2,358.06/x
  3. Step 3: Cross multiply
    4,666.62x = 6,999.69 × 2,358.06
  4. Step 4: Simplify right side
    4,666.62x = 16,505,689.00
  5. Step 5: Solve for x
    x = 16,505,689.00/4,666.62
  6. Step 6: Final answer
    x = 3,536.97

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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.