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Finding the Fourth Proportional to 3,437.64, 4,741.02 and 2,318.40

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Solution

The fourth proportional to 3,437.64, 4,741.02 and 2,318.40 is: 3,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.64 : 4,741.02 = 2,318.40 : x
  2. Step 2: Convert to fraction form
    3,437.64/4,741.02 = 2,318.40/x
  3. Step 3: Cross multiply
    3,437.64x = 4,741.02 × 2,318.40
  4. Step 4: Simplify right side
    3,437.64x = 10,991,580.77
  5. Step 5: Solve for x
    x = 10,991,580.77/3,437.64
  6. Step 6: Final answer
    x = 3,197.42

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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.