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Finding the Fourth Proportional to 4,761.46, 6,570.45 and 2,665.30

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Solution

The fourth proportional to 4,761.46, 6,570.45 and 2,665.30 is: 3,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.46 : 6,570.45 = 2,665.30 : x
  2. Step 2: Convert to fraction form
    4,761.46/6,570.45 = 2,665.30/x
  3. Step 3: Cross multiply
    4,761.46x = 6,570.45 × 2,665.30
  4. Step 4: Simplify right side
    4,761.46x = 17,512,220.39
  5. Step 5: Solve for x
    x = 17,512,220.39/4,761.46
  6. Step 6: Final answer
    x = 3,677.91

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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.