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Finding the Fourth Proportional to 3,385.67, 4,669.76 and 2,264.63

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Solution

The fourth proportional to 3,385.67, 4,669.76 and 2,264.63 is: 3,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.67 : 4,669.76 = 2,264.63 : x
  2. Step 2: Convert to fraction form
    3,385.67/4,669.76 = 2,264.63/x
  3. Step 3: Cross multiply
    3,385.67x = 4,669.76 × 2,264.63
  4. Step 4: Simplify right side
    3,385.67x = 10,575,267.27
  5. Step 5: Solve for x
    x = 10,575,267.27/3,385.67
  6. Step 6: Final answer
    x = 3,123.54

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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.