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Finding the Fourth Proportional to 5,646.44, 8,468.62 and 2,358.65

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Solution

The fourth proportional to 5,646.44, 8,468.62 and 2,358.65 is: 3,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.44 : 8,468.62 = 2,358.65 : x
  2. Step 2: Convert to fraction form
    5,646.44/8,468.62 = 2,358.65/x
  3. Step 3: Cross multiply
    5,646.44x = 8,468.62 × 2,358.65
  4. Step 4: Simplify right side
    5,646.44x = 19,974,525.84
  5. Step 5: Solve for x
    x = 19,974,525.84/5,646.44
  6. Step 6: Final answer
    x = 3,537.54

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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.