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Finding the Fourth Proportional to 3,714.14, 5,127.10 and 2,455.76

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Solution

The fourth proportional to 3,714.14, 5,127.10 and 2,455.76 is: 3,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.14 : 5,127.10 = 2,455.76 : x
  2. Step 2: Convert to fraction form
    3,714.14/5,127.10 = 2,455.76/x
  3. Step 3: Cross multiply
    3,714.14x = 5,127.10 × 2,455.76
  4. Step 4: Simplify right side
    3,714.14x = 12,590,927.10
  5. Step 5: Solve for x
    x = 12,590,927.10/3,714.14
  6. Step 6: Final answer
    x = 3,390.00

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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.