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Finding the Fourth Proportional to 3,785.84, 5,220.90 and 3,001.76

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Solution

The fourth proportional to 3,785.84, 5,220.90 and 3,001.76 is: 4,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.84 : 5,220.90 = 3,001.76 : x
  2. Step 2: Convert to fraction form
    3,785.84/5,220.90 = 3,001.76/x
  3. Step 3: Cross multiply
    3,785.84x = 5,220.90 × 3,001.76
  4. Step 4: Simplify right side
    3,785.84x = 15,671,888.78
  5. Step 5: Solve for x
    x = 15,671,888.78/3,785.84
  6. Step 6: Final answer
    x = 4,139.61

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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.