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Finding the Fourth Proportional to 3,814.78, 5,700.30 and 2,908.16

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Solution

The fourth proportional to 3,814.78, 5,700.30 and 2,908.16 is: 4,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.78 : 5,700.30 = 2,908.16 : x
  2. Step 2: Convert to fraction form
    3,814.78/5,700.30 = 2,908.16/x
  3. Step 3: Cross multiply
    3,814.78x = 5,700.30 × 2,908.16
  4. Step 4: Simplify right side
    3,814.78x = 16,577,384.45
  5. Step 5: Solve for x
    x = 16,577,384.45/3,814.78
  6. Step 6: Final answer
    x = 4,345.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.