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Finding the Fourth Proportional to 5,176.14, 7,764.30 and 1,713.48

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Solution

The fourth proportional to 5,176.14, 7,764.30 and 1,713.48 is: 2,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.14 : 7,764.30 = 1,713.48 : x
  2. Step 2: Convert to fraction form
    5,176.14/7,764.30 = 1,713.48/x
  3. Step 3: Cross multiply
    5,176.14x = 7,764.30 × 1,713.48
  4. Step 4: Simplify right side
    5,176.14x = 13,303,972.76
  5. Step 5: Solve for x
    x = 13,303,972.76/5,176.14
  6. Step 6: Final answer
    x = 2,570.25

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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.