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Finding the Fourth Proportional to 4,768.65, 6,580.58 and 2,779.34

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Solution

The fourth proportional to 4,768.65, 6,580.58 and 2,779.34 is: 3,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.65 : 6,580.58 = 2,779.34 : x
  2. Step 2: Convert to fraction form
    4,768.65/6,580.58 = 2,779.34/x
  3. Step 3: Cross multiply
    4,768.65x = 6,580.58 × 2,779.34
  4. Step 4: Simplify right side
    4,768.65x = 18,289,622.42
  5. Step 5: Solve for x
    x = 18,289,622.42/4,768.65
  6. Step 6: Final answer
    x = 3,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.