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Finding the Fourth Proportional to 5,341.84, 8,001.21 and 3,877.78

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Solution

The fourth proportional to 5,341.84, 8,001.21 and 3,877.78 is: 5,808.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.84 : 8,001.21 = 3,877.78 : x
  2. Step 2: Convert to fraction form
    5,341.84/8,001.21 = 3,877.78/x
  3. Step 3: Cross multiply
    5,341.84x = 8,001.21 × 3,877.78
  4. Step 4: Simplify right side
    5,341.84x = 31,026,932.11
  5. Step 5: Solve for x
    x = 31,026,932.11/5,341.84
  6. Step 6: Final answer
    x = 5,808.29

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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.