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Finding the Fourth Proportional to 3,407.66, 5,086.62 and 2,923.82

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Solution

The fourth proportional to 3,407.66, 5,086.62 and 2,923.82 is: 4,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.66 : 5,086.62 = 2,923.82 : x
  2. Step 2: Convert to fraction form
    3,407.66/5,086.62 = 2,923.82/x
  3. Step 3: Cross multiply
    3,407.66x = 5,086.62 × 2,923.82
  4. Step 4: Simplify right side
    3,407.66x = 14,872,368.60
  5. Step 5: Solve for x
    x = 14,872,368.60/3,407.66
  6. Step 6: Final answer
    x = 4,364.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.