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Finding the Fourth Proportional to 3,340.90, 5,009.65 and 1,585.52

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Solution

The fourth proportional to 3,340.90, 5,009.65 and 1,585.52 is: 2,377.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.90 : 5,009.65 = 1,585.52 : x
  2. Step 2: Convert to fraction form
    3,340.90/5,009.65 = 1,585.52/x
  3. Step 3: Cross multiply
    3,340.90x = 5,009.65 × 1,585.52
  4. Step 4: Simplify right side
    3,340.90x = 7,942,918.22
  5. Step 5: Solve for x
    x = 7,942,918.22/3,340.90
  6. Step 6: Final answer
    x = 2,377.48

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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.