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Finding the Fourth Proportional to 5,263.57, 7,263.64 and 2,905.66

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Solution

The fourth proportional to 5,263.57, 7,263.64 and 2,905.66 is: 4,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.57 : 7,263.64 = 2,905.66 : x
  2. Step 2: Convert to fraction form
    5,263.57/7,263.64 = 2,905.66/x
  3. Step 3: Cross multiply
    5,263.57x = 7,263.64 × 2,905.66
  4. Step 4: Simplify right side
    5,263.57x = 21,105,668.20
  5. Step 5: Solve for x
    x = 21,105,668.20/5,263.57
  6. Step 6: Final answer
    x = 4,009.76

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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.