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Finding the Fourth Proportional to 5,212.07, 7,814.19 and 1,699.98

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Solution

The fourth proportional to 5,212.07, 7,814.19 and 1,699.98 is: 2,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.07 : 7,814.19 = 1,699.98 : x
  2. Step 2: Convert to fraction form
    5,212.07/7,814.19 = 1,699.98/x
  3. Step 3: Cross multiply
    5,212.07x = 7,814.19 × 1,699.98
  4. Step 4: Simplify right side
    5,212.07x = 13,283,966.72
  5. Step 5: Solve for x
    x = 13,283,966.72/5,212.07
  6. Step 6: Final answer
    x = 2,548.69

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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.