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Finding the Fourth Proportional to 4,148.64, 5,730.72 and 3,315.19

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Solution

The fourth proportional to 4,148.64, 5,730.72 and 3,315.19 is: 4,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.64 : 5,730.72 = 3,315.19 : x
  2. Step 2: Convert to fraction form
    4,148.64/5,730.72 = 3,315.19/x
  3. Step 3: Cross multiply
    4,148.64x = 5,730.72 × 3,315.19
  4. Step 4: Simplify right side
    4,148.64x = 18,998,425.64
  5. Step 5: Solve for x
    x = 18,998,425.64/4,148.64
  6. Step 6: Final answer
    x = 4,579.43

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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.