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Finding the Fourth Proportional to 5,777.47, 8,668.06 and 4,006

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Solution

The fourth proportional to 5,777.47, 8,668.06 and 4,006 is: 6,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.47 : 8,668.06 = 4,006 : x
  2. Step 2: Convert to fraction form
    5,777.47/8,668.06 = 4,006/x
  3. Step 3: Cross multiply
    5,777.47x = 8,668.06 × 4,006
  4. Step 4: Simplify right side
    5,777.47x = 34,724,248.36
  5. Step 5: Solve for x
    x = 34,724,248.36/5,777.47
  6. Step 6: Final answer
    x = 6,010.29

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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.