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Finding the Fourth Proportional to 4,607.61, 6,906.60 and 2,140.38

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Solution

The fourth proportional to 4,607.61, 6,906.60 and 2,140.38 is: 3,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.61 : 6,906.60 = 2,140.38 : x
  2. Step 2: Convert to fraction form
    4,607.61/6,906.60 = 2,140.38/x
  3. Step 3: Cross multiply
    4,607.61x = 6,906.60 × 2,140.38
  4. Step 4: Simplify right side
    4,607.61x = 14,782,748.51
  5. Step 5: Solve for x
    x = 14,782,748.51/4,607.61
  6. Step 6: Final answer
    x = 3,208.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.