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Finding the Fourth Proportional to 4,238.80, 6,358.61 and 1,316.32

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Solution

The fourth proportional to 4,238.80, 6,358.61 and 1,316.32 is: 1,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.80 : 6,358.61 = 1,316.32 : x
  2. Step 2: Convert to fraction form
    4,238.80/6,358.61 = 1,316.32/x
  3. Step 3: Cross multiply
    4,238.80x = 6,358.61 × 1,316.32
  4. Step 4: Simplify right side
    4,238.80x = 8,369,927.14
  5. Step 5: Solve for x
    x = 8,369,927.14/4,238.80
  6. Step 6: Final answer
    x = 1,974.60

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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.