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Finding the Fourth Proportional to 4,824.64, 7,238.08 and 2,051.40

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Solution

The fourth proportional to 4,824.64, 7,238.08 and 2,051.40 is: 3,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.64 : 7,238.08 = 2,051.40 : x
  2. Step 2: Convert to fraction form
    4,824.64/7,238.08 = 2,051.40/x
  3. Step 3: Cross multiply
    4,824.64x = 7,238.08 × 2,051.40
  4. Step 4: Simplify right side
    4,824.64x = 14,848,197.31
  5. Step 5: Solve for x
    x = 14,848,197.31/4,824.64
  6. Step 6: Final answer
    x = 3,077.58

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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.