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Finding the Fourth Proportional to 5,196.07, 7,794.03 and 1,686.19

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Solution

The fourth proportional to 5,196.07, 7,794.03 and 1,686.19 is: 2,529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.07 : 7,794.03 = 1,686.19 : x
  2. Step 2: Convert to fraction form
    5,196.07/7,794.03 = 1,686.19/x
  3. Step 3: Cross multiply
    5,196.07x = 7,794.03 × 1,686.19
  4. Step 4: Simplify right side
    5,196.07x = 13,142,215.45
  5. Step 5: Solve for x
    x = 13,142,215.45/5,196.07
  6. Step 6: Final answer
    x = 2,529.26

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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.