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Finding the Fourth Proportional to 5,407, 7,461.66 and 2,923

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Solution

The fourth proportional to 5,407, 7,461.66 and 2,923 is: 4,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407 : 7,461.66 = 2,923 : x
  2. Step 2: Convert to fraction form
    5,407/7,461.66 = 2,923/x
  3. Step 3: Cross multiply
    5,407x = 7,461.66 × 2,923
  4. Step 4: Simplify right side
    5,407x = 21,810,432.18
  5. Step 5: Solve for x
    x = 21,810,432.18/5,407
  6. Step 6: Final answer
    x = 4,033.74

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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.