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Finding the Fourth Proportional to 3,956.63, 5,932.04 and 2,288.40

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Solution

The fourth proportional to 3,956.63, 5,932.04 and 2,288.40 is: 3,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.63 : 5,932.04 = 2,288.40 : x
  2. Step 2: Convert to fraction form
    3,956.63/5,932.04 = 2,288.40/x
  3. Step 3: Cross multiply
    3,956.63x = 5,932.04 × 2,288.40
  4. Step 4: Simplify right side
    3,956.63x = 13,574,868.89
  5. Step 5: Solve for x
    x = 13,574,868.89/3,956.63
  6. Step 6: Final answer
    x = 3,430.92

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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.