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Finding the Fourth Proportional to 5,714.23, 7,886.03 and 3,196.58

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Solution

The fourth proportional to 5,714.23, 7,886.03 and 3,196.58 is: 4,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.23 : 7,886.03 = 3,196.58 : x
  2. Step 2: Convert to fraction form
    5,714.23/7,886.03 = 3,196.58/x
  3. Step 3: Cross multiply
    5,714.23x = 7,886.03 × 3,196.58
  4. Step 4: Simplify right side
    5,714.23x = 25,208,325.78
  5. Step 5: Solve for x
    x = 25,208,325.78/5,714.23
  6. Step 6: Final answer
    x = 4,411.50

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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.