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Finding the Fourth Proportional to 3,389.14, 4,677.14 and 1,876.89

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Solution

The fourth proportional to 3,389.14, 4,677.14 and 1,876.89 is: 2,590.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.14 : 4,677.14 = 1,876.89 : x
  2. Step 2: Convert to fraction form
    3,389.14/4,677.14 = 1,876.89/x
  3. Step 3: Cross multiply
    3,389.14x = 4,677.14 × 1,876.89
  4. Step 4: Simplify right side
    3,389.14x = 8,778,493.68
  5. Step 5: Solve for x
    x = 8,778,493.68/3,389.14
  6. Step 6: Final answer
    x = 2,590.18

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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.