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Finding the Fourth Proportional to 5,146.85, 7,714.43 and 2,026.28

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Solution

The fourth proportional to 5,146.85, 7,714.43 and 2,026.28 is: 3,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.85 : 7,714.43 = 2,026.28 : x
  2. Step 2: Convert to fraction form
    5,146.85/7,714.43 = 2,026.28/x
  3. Step 3: Cross multiply
    5,146.85x = 7,714.43 × 2,026.28
  4. Step 4: Simplify right side
    5,146.85x = 15,631,595.22
  5. Step 5: Solve for x
    x = 15,631,595.22/5,146.85
  6. Step 6: Final answer
    x = 3,037.12

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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.