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Finding the Fourth Proportional to 4,648.64, 6,417.94 and 3,057.80

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Solution

The fourth proportional to 4,648.64, 6,417.94 and 3,057.80 is: 4,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.64 : 6,417.94 = 3,057.80 : x
  2. Step 2: Convert to fraction form
    4,648.64/6,417.94 = 3,057.80/x
  3. Step 3: Cross multiply
    4,648.64x = 6,417.94 × 3,057.80
  4. Step 4: Simplify right side
    4,648.64x = 19,624,776.93
  5. Step 5: Solve for x
    x = 19,624,776.93/4,648.64
  6. Step 6: Final answer
    x = 4,221.62

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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.