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Finding the Fourth Proportional to 3,486.61, 4,810.89 and 2,647.09

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Solution

The fourth proportional to 3,486.61, 4,810.89 and 2,647.09 is: 3,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.61 : 4,810.89 = 2,647.09 : x
  2. Step 2: Convert to fraction form
    3,486.61/4,810.89 = 2,647.09/x
  3. Step 3: Cross multiply
    3,486.61x = 4,810.89 × 2,647.09
  4. Step 4: Simplify right side
    3,486.61x = 12,734,858.81
  5. Step 5: Solve for x
    x = 12,734,858.81/3,486.61
  6. Step 6: Final answer
    x = 3,652.50

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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.