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Finding the Fourth Proportional to 4,767.61, 6,580.10 and 2,779.33

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Solution

The fourth proportional to 4,767.61, 6,580.10 and 2,779.33 is: 3,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.61 : 6,580.10 = 2,779.33 : x
  2. Step 2: Convert to fraction form
    4,767.61/6,580.10 = 2,779.33/x
  3. Step 3: Cross multiply
    4,767.61x = 6,580.10 × 2,779.33
  4. Step 4: Simplify right side
    4,767.61x = 18,288,269.33
  5. Step 5: Solve for x
    x = 18,288,269.33/4,767.61
  6. Step 6: Final answer
    x = 3,835.94

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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.