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Finding the Fourth Proportional to 3,224.67, 4,834.65 and 1,032.14

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Solution

The fourth proportional to 3,224.67, 4,834.65 and 1,032.14 is: 1,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.67 : 4,834.65 = 1,032.14 : x
  2. Step 2: Convert to fraction form
    3,224.67/4,834.65 = 1,032.14/x
  3. Step 3: Cross multiply
    3,224.67x = 4,834.65 × 1,032.14
  4. Step 4: Simplify right side
    3,224.67x = 4,990,035.65
  5. Step 5: Solve for x
    x = 4,990,035.65/3,224.67
  6. Step 6: Final answer
    x = 1,547.46

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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.