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Finding the Fourth Proportional to 4,274.42, 6,410.61 and 1,807.97

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Solution

The fourth proportional to 4,274.42, 6,410.61 and 1,807.97 is: 2,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.42 : 6,410.61 = 1,807.97 : x
  2. Step 2: Convert to fraction form
    4,274.42/6,410.61 = 1,807.97/x
  3. Step 3: Cross multiply
    4,274.42x = 6,410.61 × 1,807.97
  4. Step 4: Simplify right side
    4,274.42x = 11,590,158.51
  5. Step 5: Solve for x
    x = 11,590,158.51/4,274.42
  6. Step 6: Final answer
    x = 2,711.52

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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.