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Finding the Fourth Proportional to 4,238.65, 6,358.25 and 1,465.57

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Solution

The fourth proportional to 4,238.65, 6,358.25 and 1,465.57 is: 2,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.65 : 6,358.25 = 1,465.57 : x
  2. Step 2: Convert to fraction form
    4,238.65/6,358.25 = 1,465.57/x
  3. Step 3: Cross multiply
    4,238.65x = 6,358.25 × 1,465.57
  4. Step 4: Simplify right side
    4,238.65x = 9,318,460.45
  5. Step 5: Solve for x
    x = 9,318,460.45/4,238.65
  6. Step 6: Final answer
    x = 2,198.45

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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.