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Finding the Fourth Proportional to 3,230.48, 4,846.14 and 1,038.92

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Solution

The fourth proportional to 3,230.48, 4,846.14 and 1,038.92 is: 1,558.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.48 : 4,846.14 = 1,038.92 : x
  2. Step 2: Convert to fraction form
    3,230.48/4,846.14 = 1,038.92/x
  3. Step 3: Cross multiply
    3,230.48x = 4,846.14 × 1,038.92
  4. Step 4: Simplify right side
    3,230.48x = 5,034,751.77
  5. Step 5: Solve for x
    x = 5,034,751.77/3,230.48
  6. Step 6: Final answer
    x = 1,558.52

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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.