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Finding the Fourth Proportional to 4,473.27, 6,714.77 and 3,783.15

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Solution

The fourth proportional to 4,473.27, 6,714.77 and 3,783.15 is: 5,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.27 : 6,714.77 = 3,783.15 : x
  2. Step 2: Convert to fraction form
    4,473.27/6,714.77 = 3,783.15/x
  3. Step 3: Cross multiply
    4,473.27x = 6,714.77 × 3,783.15
  4. Step 4: Simplify right side
    4,473.27x = 25,402,963.21
  5. Step 5: Solve for x
    x = 25,402,963.21/4,473.27
  6. Step 6: Final answer
    x = 5,678.84

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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.