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Finding the Fourth Proportional to 4,652.95, 6,420.89 and 2,764.48

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Solution

The fourth proportional to 4,652.95, 6,420.89 and 2,764.48 is: 3,814.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.95 : 6,420.89 = 2,764.48 : x
  2. Step 2: Convert to fraction form
    4,652.95/6,420.89 = 2,764.48/x
  3. Step 3: Cross multiply
    4,652.95x = 6,420.89 × 2,764.48
  4. Step 4: Simplify right side
    4,652.95x = 17,750,421.99
  5. Step 5: Solve for x
    x = 17,750,421.99/4,652.95
  6. Step 6: Final answer
    x = 3,814.87

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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.