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Finding the Fourth Proportional to 5,901.57, 8,849.66 and 2,004.93

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Solution

The fourth proportional to 5,901.57, 8,849.66 and 2,004.93 is: 3,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.57 : 8,849.66 = 2,004.93 : x
  2. Step 2: Convert to fraction form
    5,901.57/8,849.66 = 2,004.93/x
  3. Step 3: Cross multiply
    5,901.57x = 8,849.66 × 2,004.93
  4. Step 4: Simplify right side
    5,901.57x = 17,742,938.80
  5. Step 5: Solve for x
    x = 17,742,938.80/5,901.57
  6. Step 6: Final answer
    x = 3,006.48

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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.