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Finding the Fourth Proportional to 5,204.38, 7,807.71 and 1,506.75

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Solution

The fourth proportional to 5,204.38, 7,807.71 and 1,506.75 is: 2,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.38 : 7,807.71 = 1,506.75 : x
  2. Step 2: Convert to fraction form
    5,204.38/7,807.71 = 1,506.75/x
  3. Step 3: Cross multiply
    5,204.38x = 7,807.71 × 1,506.75
  4. Step 4: Simplify right side
    5,204.38x = 11,764,267.04
  5. Step 5: Solve for x
    x = 11,764,267.04/5,204.38
  6. Step 6: Final answer
    x = 2,260.46

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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.