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Finding the Fourth Proportional to 4,294.47, 5,923.40 and 3,021.05

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Solution

The fourth proportional to 4,294.47, 5,923.40 and 3,021.05 is: 4,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.47 : 5,923.40 = 3,021.05 : x
  2. Step 2: Convert to fraction form
    4,294.47/5,923.40 = 3,021.05/x
  3. Step 3: Cross multiply
    4,294.47x = 5,923.40 × 3,021.05
  4. Step 4: Simplify right side
    4,294.47x = 17,894,887.57
  5. Step 5: Solve for x
    x = 17,894,887.57/4,294.47
  6. Step 6: Final answer
    x = 4,166.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.