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Finding the Fourth Proportional to 4,166, 6,244.14 and 2,316.23

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Solution

The fourth proportional to 4,166, 6,244.14 and 2,316.23 is: 3,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166 : 6,244.14 = 2,316.23 : x
  2. Step 2: Convert to fraction form
    4,166/6,244.14 = 2,316.23/x
  3. Step 3: Cross multiply
    4,166x = 6,244.14 × 2,316.23
  4. Step 4: Simplify right side
    4,166x = 14,462,864.39
  5. Step 5: Solve for x
    x = 14,462,864.39/4,166
  6. Step 6: Final answer
    x = 3,471.64

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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.