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Finding the Fourth Proportional to 5,956.64, 8,925.74 and 2,256.86

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Solution

The fourth proportional to 5,956.64, 8,925.74 and 2,256.86 is: 3,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.64 : 8,925.74 = 2,256.86 : x
  2. Step 2: Convert to fraction form
    5,956.64/8,925.74 = 2,256.86/x
  3. Step 3: Cross multiply
    5,956.64x = 8,925.74 × 2,256.86
  4. Step 4: Simplify right side
    5,956.64x = 20,144,177.76
  5. Step 5: Solve for x
    x = 20,144,177.76/5,956.64
  6. Step 6: Final answer
    x = 3,381.80

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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.