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Finding the Fourth Proportional to 4,114.62, 5,678.16 and 2,346.30

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Solution

The fourth proportional to 4,114.62, 5,678.16 and 2,346.30 is: 3,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.62 : 5,678.16 = 2,346.30 : x
  2. Step 2: Convert to fraction form
    4,114.62/5,678.16 = 2,346.30/x
  3. Step 3: Cross multiply
    4,114.62x = 5,678.16 × 2,346.30
  4. Step 4: Simplify right side
    4,114.62x = 13,322,666.81
  5. Step 5: Solve for x
    x = 13,322,666.81/4,114.62
  6. Step 6: Final answer
    x = 3,237.89

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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.