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Finding the Fourth Proportional to 5,406.66, 7,460.10 and 4,149.18

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Solution

The fourth proportional to 5,406.66, 7,460.10 and 4,149.18 is: 5,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.66 : 7,460.10 = 4,149.18 : x
  2. Step 2: Convert to fraction form
    5,406.66/7,460.10 = 4,149.18/x
  3. Step 3: Cross multiply
    5,406.66x = 7,460.10 × 4,149.18
  4. Step 4: Simplify right side
    5,406.66x = 30,953,297.72
  5. Step 5: Solve for x
    x = 30,953,297.72/5,406.66
  6. Step 6: Final answer
    x = 5,725.03

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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.