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Finding the Fourth Proportional to 5,369.74, 7,410.68 and 2,980.46

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Solution

The fourth proportional to 5,369.74, 7,410.68 and 2,980.46 is: 4,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.74 : 7,410.68 = 2,980.46 : x
  2. Step 2: Convert to fraction form
    5,369.74/7,410.68 = 2,980.46/x
  3. Step 3: Cross multiply
    5,369.74x = 7,410.68 × 2,980.46
  4. Step 4: Simplify right side
    5,369.74x = 22,087,235.31
  5. Step 5: Solve for x
    x = 22,087,235.31/5,369.74
  6. Step 6: Final answer
    x = 4,113.28

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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.