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Finding the Fourth Proportional to 4,956, 7,429.86 and 2,036.40

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Solution

The fourth proportional to 4,956, 7,429.86 and 2,036.40 is: 3,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956 : 7,429.86 = 2,036.40 : x
  2. Step 2: Convert to fraction form
    4,956/7,429.86 = 2,036.40/x
  3. Step 3: Cross multiply
    4,956x = 7,429.86 × 2,036.40
  4. Step 4: Simplify right side
    4,956x = 15,130,166.90
  5. Step 5: Solve for x
    x = 15,130,166.90/4,956
  6. Step 6: Final answer
    x = 3,052.90

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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.