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Finding the Fourth Proportional to 4,666.92, 6,438.27 and 3,154

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Solution

The fourth proportional to 4,666.92, 6,438.27 and 3,154 is: 4,351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.92 : 6,438.27 = 3,154 : x
  2. Step 2: Convert to fraction form
    4,666.92/6,438.27 = 3,154/x
  3. Step 3: Cross multiply
    4,666.92x = 6,438.27 × 3,154
  4. Step 4: Simplify right side
    4,666.92x = 20,306,303.58
  5. Step 5: Solve for x
    x = 20,306,303.58/4,666.92
  6. Step 6: Final answer
    x = 4,351.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.