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Finding the Fourth Proportional to 3,386.64, 5,080.86 and 1,046.54

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Solution

The fourth proportional to 3,386.64, 5,080.86 and 1,046.54 is: 1,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.64 : 5,080.86 = 1,046.54 : x
  2. Step 2: Convert to fraction form
    3,386.64/5,080.86 = 1,046.54/x
  3. Step 3: Cross multiply
    3,386.64x = 5,080.86 × 1,046.54
  4. Step 4: Simplify right side
    3,386.64x = 5,317,323.22
  5. Step 5: Solve for x
    x = 5,317,323.22/3,386.64
  6. Step 6: Final answer
    x = 1,570.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.