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Finding the Fourth Proportional to 5,263.63, 7,263.81 and 2,905.77

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Solution

The fourth proportional to 5,263.63, 7,263.81 and 2,905.77 is: 4,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.63 : 7,263.81 = 2,905.77 : x
  2. Step 2: Convert to fraction form
    5,263.63/7,263.81 = 2,905.77/x
  3. Step 3: Cross multiply
    5,263.63x = 7,263.81 × 2,905.77
  4. Step 4: Simplify right side
    5,263.63x = 21,106,961.18
  5. Step 5: Solve for x
    x = 21,106,961.18/5,263.63
  6. Step 6: Final answer
    x = 4,009.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.