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Finding the Fourth Proportional to 4,913.24, 7,374.72 and 2,318

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Solution

The fourth proportional to 4,913.24, 7,374.72 and 2,318 is: 3,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.24 : 7,374.72 = 2,318 : x
  2. Step 2: Convert to fraction form
    4,913.24/7,374.72 = 2,318/x
  3. Step 3: Cross multiply
    4,913.24x = 7,374.72 × 2,318
  4. Step 4: Simplify right side
    4,913.24x = 17,094,600.96
  5. Step 5: Solve for x
    x = 17,094,600.96/4,913.24
  6. Step 6: Final answer
    x = 3,479.29

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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.