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Finding the Fourth Proportional to 3,876.40, 5,788.34 and 3,045.34

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Solution

The fourth proportional to 3,876.40, 5,788.34 and 3,045.34 is: 4,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.40 : 5,788.34 = 3,045.34 : x
  2. Step 2: Convert to fraction form
    3,876.40/5,788.34 = 3,045.34/x
  3. Step 3: Cross multiply
    3,876.40x = 5,788.34 × 3,045.34
  4. Step 4: Simplify right side
    3,876.40x = 17,627,463.34
  5. Step 5: Solve for x
    x = 17,627,463.34/3,876.40
  6. Step 6: Final answer
    x = 4,547.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.