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Finding the Fourth Proportional to 4,712.00, 6,502.41 and 2,722.50

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Solution

The fourth proportional to 4,712.00, 6,502.41 and 2,722.50 is: 3,756.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.00 : 6,502.41 = 2,722.50 : x
  2. Step 2: Convert to fraction form
    4,712.00/6,502.41 = 2,722.50/x
  3. Step 3: Cross multiply
    4,712.00x = 6,502.41 × 2,722.50
  4. Step 4: Simplify right side
    4,712.00x = 17,702,811.23
  5. Step 5: Solve for x
    x = 17,702,811.23/4,712.00
  6. Step 6: Final answer
    x = 3,756.97

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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.