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Finding the Fourth Proportional to 5,056.92, 7,631.06 and 4,901.09

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Solution

The fourth proportional to 5,056.92, 7,631.06 and 4,901.09 is: 7,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,056.92 : 7,631.06 = 4,901.09 : x
  2. Step 2: Convert to fraction form
    5,056.92/7,631.06 = 4,901.09/x
  3. Step 3: Cross multiply
    5,056.92x = 7,631.06 × 4,901.09
  4. Step 4: Simplify right side
    5,056.92x = 37,400,449.19
  5. Step 5: Solve for x
    x = 37,400,449.19/5,056.92
  6. Step 6: Final answer
    x = 7,395.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.