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Finding the Fourth Proportional to 4,669.01, 6,442.77 and 2,780

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Solution

The fourth proportional to 4,669.01, 6,442.77 and 2,780 is: 3,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.01 : 6,442.77 = 2,780 : x
  2. Step 2: Convert to fraction form
    4,669.01/6,442.77 = 2,780/x
  3. Step 3: Cross multiply
    4,669.01x = 6,442.77 × 2,780
  4. Step 4: Simplify right side
    4,669.01x = 17,910,900.60
  5. Step 5: Solve for x
    x = 17,910,900.60/4,669.01
  6. Step 6: Final answer
    x = 3,836.12

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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.