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Finding the Fourth Proportional to 4,617.66, 6,364.80 and 3,358.92

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Solution

The fourth proportional to 4,617.66, 6,364.80 and 3,358.92 is: 4,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.66 : 6,364.80 = 3,358.92 : x
  2. Step 2: Convert to fraction form
    4,617.66/6,364.80 = 3,358.92/x
  3. Step 3: Cross multiply
    4,617.66x = 6,364.80 × 3,358.92
  4. Step 4: Simplify right side
    4,617.66x = 21,378,854.02
  5. Step 5: Solve for x
    x = 21,378,854.02/4,617.66
  6. Step 6: Final answer
    x = 4,629.80

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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.