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Finding the Fourth Proportional to 3,714.84, 5,115.67 and 3,477.40

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Solution

The fourth proportional to 3,714.84, 5,115.67 and 3,477.40 is: 4,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.84 : 5,115.67 = 3,477.40 : x
  2. Step 2: Convert to fraction form
    3,714.84/5,115.67 = 3,477.40/x
  3. Step 3: Cross multiply
    3,714.84x = 5,115.67 × 3,477.40
  4. Step 4: Simplify right side
    3,714.84x = 17,789,230.86
  5. Step 5: Solve for x
    x = 17,789,230.86/3,714.84
  6. Step 6: Final answer
    x = 4,788.69

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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.