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Finding the Fourth Proportional to 5,263.47, 7,263.74 and 2,905.76

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Solution

The fourth proportional to 5,263.47, 7,263.74 and 2,905.76 is: 4,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.47 : 7,263.74 = 2,905.76 : x
  2. Step 2: Convert to fraction form
    5,263.47/7,263.74 = 2,905.76/x
  3. Step 3: Cross multiply
    5,263.47x = 7,263.74 × 2,905.76
  4. Step 4: Simplify right side
    5,263.47x = 21,106,685.14
  5. Step 5: Solve for x
    x = 21,106,685.14/5,263.47
  6. Step 6: Final answer
    x = 4,010.03

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1.5x scale

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.