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Finding the Fourth Proportional to 5,956.84, 8,934.35 and 1,574.64

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Solution

The fourth proportional to 5,956.84, 8,934.35 and 1,574.64 is: 2,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.84 : 8,934.35 = 1,574.64 : x
  2. Step 2: Convert to fraction form
    5,956.84/8,934.35 = 1,574.64/x
  3. Step 3: Cross multiply
    5,956.84x = 8,934.35 × 1,574.64
  4. Step 4: Simplify right side
    5,956.84x = 14,068,385.87
  5. Step 5: Solve for x
    x = 14,068,385.87/5,956.84
  6. Step 6: Final answer
    x = 2,361.72

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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.