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Finding the Fourth Proportional to 7,070.80, 9,758.28 and 3,928

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Solution

The fourth proportional to 7,070.80, 9,758.28 and 3,928 is: 5,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.80 : 9,758.28 = 3,928 : x
  2. Step 2: Convert to fraction form
    7,070.80/9,758.28 = 3,928/x
  3. Step 3: Cross multiply
    7,070.80x = 9,758.28 × 3,928
  4. Step 4: Simplify right side
    7,070.80x = 38,330,523.84
  5. Step 5: Solve for x
    x = 38,330,523.84/7,070.80
  6. Step 6: Final answer
    x = 5,420.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.