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Finding the Fourth Proportional to 5,633.75, 8,448.71 and 2,345.15

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Solution

The fourth proportional to 5,633.75, 8,448.71 and 2,345.15 is: 3,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.75 : 8,448.71 = 2,345.15 : x
  2. Step 2: Convert to fraction form
    5,633.75/8,448.71 = 2,345.15/x
  3. Step 3: Cross multiply
    5,633.75x = 8,448.71 × 2,345.15
  4. Step 4: Simplify right side
    5,633.75x = 19,813,501.65
  5. Step 5: Solve for x
    x = 19,813,501.65/5,633.75
  6. Step 6: Final answer
    x = 3,516.93

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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.