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Finding the Fourth Proportional to 3,795.68, 5,237.98 and 2,117.00

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Solution

The fourth proportional to 3,795.68, 5,237.98 and 2,117.00 is: 2,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.68 : 5,237.98 = 2,117.00 : x
  2. Step 2: Convert to fraction form
    3,795.68/5,237.98 = 2,117.00/x
  3. Step 3: Cross multiply
    3,795.68x = 5,237.98 × 2,117.00
  4. Step 4: Simplify right side
    3,795.68x = 11,088,811.46
  5. Step 5: Solve for x
    x = 11,088,811.46/3,795.68
  6. Step 6: Final answer
    x = 2,921.43

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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.