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Finding the Fourth Proportional to 5,781.25, 8,673.32 and 1,677.25

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Solution

The fourth proportional to 5,781.25, 8,673.32 and 1,677.25 is: 2,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.25 : 8,673.32 = 1,677.25 : x
  2. Step 2: Convert to fraction form
    5,781.25/8,673.32 = 1,677.25/x
  3. Step 3: Cross multiply
    5,781.25x = 8,673.32 × 1,677.25
  4. Step 4: Simplify right side
    5,781.25x = 14,547,317.58
  5. Step 5: Solve for x
    x = 14,547,317.58/5,781.25
  6. Step 6: Final answer
    x = 2,516.29

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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.