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Finding the Fourth Proportional to 5,117.32, 7,675.98 and 1,829.80

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Solution

The fourth proportional to 5,117.32, 7,675.98 and 1,829.80 is: 2,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.32 : 7,675.98 = 1,829.80 : x
  2. Step 2: Convert to fraction form
    5,117.32/7,675.98 = 1,829.80/x
  3. Step 3: Cross multiply
    5,117.32x = 7,675.98 × 1,829.80
  4. Step 4: Simplify right side
    5,117.32x = 14,045,508.20
  5. Step 5: Solve for x
    x = 14,045,508.20/5,117.32
  6. Step 6: Final answer
    x = 2,744.70

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