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Finding the Fourth Proportional to 3,937.94, 5,434.77 and 2,259.50

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Solution

The fourth proportional to 3,937.94, 5,434.77 and 2,259.50 is: 3,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.94 : 5,434.77 = 2,259.50 : x
  2. Step 2: Convert to fraction form
    3,937.94/5,434.77 = 2,259.50/x
  3. Step 3: Cross multiply
    3,937.94x = 5,434.77 × 2,259.50
  4. Step 4: Simplify right side
    3,937.94x = 12,279,862.82
  5. Step 5: Solve for x
    x = 12,279,862.82/3,937.94
  6. Step 6: Final answer
    x = 3,118.35

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