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Finding the Fourth Proportional to 3,954.61, 5,931.51 and 1,032.54

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Solution

The fourth proportional to 3,954.61, 5,931.51 and 1,032.54 is: 1,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.61 : 5,931.51 = 1,032.54 : x
  2. Step 2: Convert to fraction form
    3,954.61/5,931.51 = 1,032.54/x
  3. Step 3: Cross multiply
    3,954.61x = 5,931.51 × 1,032.54
  4. Step 4: Simplify right side
    3,954.61x = 6,124,521.34
  5. Step 5: Solve for x
    x = 6,124,521.34/3,954.61
  6. Step 6: Final answer
    x = 1,548.70

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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.