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Finding the Fourth Proportional to 5,208.64, 7,814.10 and 1,511.02

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Solution

The fourth proportional to 5,208.64, 7,814.10 and 1,511.02 is: 2,266.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.64 : 7,814.10 = 1,511.02 : x
  2. Step 2: Convert to fraction form
    5,208.64/7,814.10 = 1,511.02/x
  3. Step 3: Cross multiply
    5,208.64x = 7,814.10 × 1,511.02
  4. Step 4: Simplify right side
    5,208.64x = 11,807,261.38
  5. Step 5: Solve for x
    x = 11,807,261.38/5,208.64
  6. Step 6: Final answer
    x = 2,266.86

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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.