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Finding the Fourth Proportional to 4,659.66, 6,429.60 and 2,669.94

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Solution

The fourth proportional to 4,659.66, 6,429.60 and 2,669.94 is: 3,684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.66 : 6,429.60 = 2,669.94 : x
  2. Step 2: Convert to fraction form
    4,659.66/6,429.60 = 2,669.94/x
  3. Step 3: Cross multiply
    4,659.66x = 6,429.60 × 2,669.94
  4. Step 4: Simplify right side
    4,659.66x = 17,166,646.22
  5. Step 5: Solve for x
    x = 17,166,646.22/4,659.66
  6. Step 6: Final answer
    x = 3,684.10

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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.