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Finding the Fourth Proportional to 5,048.47, 6,966.42 and 3,722.90

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Solution

The fourth proportional to 5,048.47, 6,966.42 and 3,722.90 is: 5,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.47 : 6,966.42 = 3,722.90 : x
  2. Step 2: Convert to fraction form
    5,048.47/6,966.42 = 3,722.90/x
  3. Step 3: Cross multiply
    5,048.47x = 6,966.42 × 3,722.90
  4. Step 4: Simplify right side
    5,048.47x = 25,935,285.02
  5. Step 5: Solve for x
    x = 25,935,285.02/5,048.47
  6. Step 6: Final answer
    x = 5,137.26

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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.