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Finding the Fourth Proportional to 3,954.36, 5,931.54 and 1,032.66

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Solution

The fourth proportional to 3,954.36, 5,931.54 and 1,032.66 is: 1,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.36 : 5,931.54 = 1,032.66 : x
  2. Step 2: Convert to fraction form
    3,954.36/5,931.54 = 1,032.66/x
  3. Step 3: Cross multiply
    3,954.36x = 5,931.54 × 1,032.66
  4. Step 4: Simplify right side
    3,954.36x = 6,125,264.10
  5. Step 5: Solve for x
    x = 6,125,264.10/3,954.36
  6. Step 6: Final answer
    x = 1,548.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.