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Finding the Fourth Proportional to 4,768.84, 6,580.68 and 2,779.48

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Solution

The fourth proportional to 4,768.84, 6,580.68 and 2,779.48 is: 3,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.84 : 6,580.68 = 2,779.48 : x
  2. Step 2: Convert to fraction form
    4,768.84/6,580.68 = 2,779.48/x
  3. Step 3: Cross multiply
    4,768.84x = 6,580.68 × 2,779.48
  4. Step 4: Simplify right side
    4,768.84x = 18,290,868.45
  5. Step 5: Solve for x
    x = 18,290,868.45/4,768.84
  6. Step 6: Final answer
    x = 3,835.50

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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.