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Finding the Fourth Proportional to 4,966.61, 6,849.20 and 3,785.63

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Solution

The fourth proportional to 4,966.61, 6,849.20 and 3,785.63 is: 5,220.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.61 : 6,849.20 = 3,785.63 : x
  2. Step 2: Convert to fraction form
    4,966.61/6,849.20 = 3,785.63/x
  3. Step 3: Cross multiply
    4,966.61x = 6,849.20 × 3,785.63
  4. Step 4: Simplify right side
    4,966.61x = 25,928,483.82
  5. Step 5: Solve for x
    x = 25,928,483.82/4,966.61
  6. Step 6: Final answer
    x = 5,220.56

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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.