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Finding the Fourth Proportional to 3,913.94, 5,840.56 and 3,498.50

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Solution

The fourth proportional to 3,913.94, 5,840.56 and 3,498.50 is: 5,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.94 : 5,840.56 = 3,498.50 : x
  2. Step 2: Convert to fraction form
    3,913.94/5,840.56 = 3,498.50/x
  3. Step 3: Cross multiply
    3,913.94x = 5,840.56 × 3,498.50
  4. Step 4: Simplify right side
    3,913.94x = 20,433,199.16
  5. Step 5: Solve for x
    x = 20,433,199.16/3,913.94
  6. Step 6: Final answer
    x = 5,220.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.