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Finding the Fourth Proportional to 5,828.66, 8,743.04 and 4,666.05

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Solution

The fourth proportional to 5,828.66, 8,743.04 and 4,666.05 is: 6,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.66 : 8,743.04 = 4,666.05 : x
  2. Step 2: Convert to fraction form
    5,828.66/8,743.04 = 4,666.05/x
  3. Step 3: Cross multiply
    5,828.66x = 8,743.04 × 4,666.05
  4. Step 4: Simplify right side
    5,828.66x = 40,795,461.79
  5. Step 5: Solve for x
    x = 40,795,461.79/5,828.66
  6. Step 6: Final answer
    x = 6,999.12

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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.