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Finding the Fourth Proportional to 5,113.28, 7,667.01 and 1,780.00

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Solution

The fourth proportional to 5,113.28, 7,667.01 and 1,780.00 is: 2,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.28 : 7,667.01 = 1,780.00 : x
  2. Step 2: Convert to fraction form
    5,113.28/7,667.01 = 1,780.00/x
  3. Step 3: Cross multiply
    5,113.28x = 7,667.01 × 1,780.00
  4. Step 4: Simplify right side
    5,113.28x = 13,647,258.63
  5. Step 5: Solve for x
    x = 13,647,258.63/5,113.28
  6. Step 6: Final answer
    x = 2,668.98

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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.