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Finding the Fourth Proportional to 5,848.78, 8,071.43 and 3,196.35

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Solution

The fourth proportional to 5,848.78, 8,071.43 and 3,196.35 is: 4,411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.78 : 8,071.43 = 3,196.35 : x
  2. Step 2: Convert to fraction form
    5,848.78/8,071.43 = 3,196.35/x
  3. Step 3: Cross multiply
    5,848.78x = 8,071.43 × 3,196.35
  4. Step 4: Simplify right side
    5,848.78x = 25,799,115.28
  5. Step 5: Solve for x
    x = 25,799,115.28/5,848.78
  6. Step 6: Final answer
    x = 4,411.03

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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.