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Finding the Fourth Proportional to 4,691.56, 7,035.36 and 1,405.12

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Solution

The fourth proportional to 4,691.56, 7,035.36 and 1,405.12 is: 2,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.56 : 7,035.36 = 1,405.12 : x
  2. Step 2: Convert to fraction form
    4,691.56/7,035.36 = 1,405.12/x
  3. Step 3: Cross multiply
    4,691.56x = 7,035.36 × 1,405.12
  4. Step 4: Simplify right side
    4,691.56x = 9,885,525.04
  5. Step 5: Solve for x
    x = 9,885,525.04/4,691.56
  6. Step 6: Final answer
    x = 2,107.09

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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.