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Finding the Fourth Proportional to 3,303, 4,956.84 and 1,571.76

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Solution

The fourth proportional to 3,303, 4,956.84 and 1,571.76 is: 2,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303 : 4,956.84 = 1,571.76 : x
  2. Step 2: Convert to fraction form
    3,303/4,956.84 = 1,571.76/x
  3. Step 3: Cross multiply
    3,303x = 4,956.84 × 1,571.76
  4. Step 4: Simplify right side
    3,303x = 7,790,962.84
  5. Step 5: Solve for x
    x = 7,790,962.84/3,303
  6. Step 6: Final answer
    x = 2,358.75

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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.