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Finding the Fourth Proportional to 5,714.49, 7,886.09 and 3,196.71

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Solution

The fourth proportional to 5,714.49, 7,886.09 and 3,196.71 is: 4,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.49 : 7,886.09 = 3,196.71 : x
  2. Step 2: Convert to fraction form
    5,714.49/7,886.09 = 3,196.71/x
  3. Step 3: Cross multiply
    5,714.49x = 7,886.09 × 3,196.71
  4. Step 4: Simplify right side
    5,714.49x = 25,209,526.78
  5. Step 5: Solve for x
    x = 25,209,526.78/5,714.49
  6. Step 6: Final answer
    x = 4,411.51

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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.