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Finding the Fourth Proportional to 3,033.43, 4,547.71 and 1,876.75

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Solution

The fourth proportional to 3,033.43, 4,547.71 and 1,876.75 is: 2,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.43 : 4,547.71 = 1,876.75 : x
  2. Step 2: Convert to fraction form
    3,033.43/4,547.71 = 1,876.75/x
  3. Step 3: Cross multiply
    3,033.43x = 4,547.71 × 1,876.75
  4. Step 4: Simplify right side
    3,033.43x = 8,534,914.74
  5. Step 5: Solve for x
    x = 8,534,914.74/3,033.43
  6. Step 6: Final answer
    x = 2,813.62

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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.